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1442520630 = 233541311419
BaseRepresentation
bin101010111111011…
…0001111000110110
310201112100122022000
41111332301320312
510423241130010
6355050120130
750514136335
oct12576617066
93645318260
101442520630
116802a1111
12343120046
1319cb18705
14d981dd1c
15869937c0
hex55fb1e36

1442520630 has 128 divisors (see below), whose sum is σ = 3962649600. Its totient is φ = 373190400.

The previous prime is 1442520623. The next prime is 1442520637. The reversal of 1442520630 is 360252441.

1442520630 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 20 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (1442520623) and next prime (1442520637).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1442520594 and 1442520603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442520637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3442561 + ... + 3442979.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 21442520630 is an apocalyptic number.

1442520630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442520630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1442520630 is an abundant number, since it is smaller than the sum of its proper divisors (2520128970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1442520630 is a wasteful number, since it uses less digits than its factorization.

1442520630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1442520630 is about 37980.5296171604. The cubic root of 1442520630 is about 1129.9017404837.

The spelling of 1442520630 in words is "one billion, four hundred forty-two million, five hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 311 369 410 419 615 622 738 838 933 1107 1230 1257 1555 1845 1866 2095 2214 2514 2799 3110 3690 3771 4190 4665 5535 5598 6285 7542 8397 9330 11070 11313 12570 12751 13995 16794 17179 18855 22626 25502 27990 34358 37710 38253 41985 51537 56565 63755 76506 83970 85895 103074 113130 114759 127510 130309 154611 171790 191265 229518 257685 260618 309222 344277 382530 390927 463833 515370 573795 651545 688554 773055 781854 927666 1147590 1172781 1303090 1546110 1721385 1954635 2319165 2345562 3442770 3518343 3909270 4638330 5342669 5863905 7036686 10685338 11727810 16028007 17591715 26713345 32056014 35183430 48084021 53426690 80140035 96168042 144252063 160280070 240420105 288504126 480840210 721260315 1442520630