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145062940 = 225113771251
BaseRepresentation
bin10001010010101…
…11110000011100
3101002221221221111
420221113300130
5244114003230
622221111404
73411005011
oct1051276034
9332857844
10145062940
117497aa30
12406b8564
1324090979
14153a1708
15cb0692a
hex8a57c1c

145062940 has 96 divisors (see below), whose sum is σ = 347493888. Its totient is φ = 50400000.

The previous prime is 145062937. The next prime is 145062943. The reversal of 145062940 is 49260541.

It is an interprime number because it is at equal distance from previous prime (145062937) and next prime (145062943).

It is a super-2 number, since 2×1450629402 = 42086513122887200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145062943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577815 + ... + 578065.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2145062940 is an apocalyptic number.

145062940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145062940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

145062940 is an abundant number, since it is smaller than the sum of its proper divisors (202430948).

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

145062940 is a wasteful number, since it uses less digits than its factorization.

145062940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 145062940 is about 12044.2077365014. The cubic root of 145062940 is about 525.4347902353.

The spelling of 145062940 in words is "one hundred forty-five million, sixty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 71 74 110 142 148 185 220 251 284 355 370 407 502 710 740 781 814 1004 1255 1420 1562 1628 2035 2510 2627 2761 3124 3905 4070 5020 5254 5522 7810 8140 9287 10508 11044 13135 13805 15620 17821 18574 26270 27610 28897 35642 37148 46435 52540 55220 57794 71284 89105 92870 102157 115588 144485 178210 185740 196031 204314 288970 356420 392062 408628 510785 577940 659377 784124 980155 1021570 1318754 1960310 2043140 2637508 3296885 3920620 6593770 7253147 13187540 14506294 29012588 36265735 72531470 145062940