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141242520 = 23354779317
BaseRepresentation
bin10000110101100…
…11000010011000
3100211202212022110
420122303002120
5242124230040
622003152320
73333353526
oct1032630230
9324685273
10141242520
1172800661
123b3756a0
1323353a73
1414a89316
15c5ee980
hex86b3098

141242520 has 128 divisors (see below), whose sum is σ = 439603200. Its totient is φ = 36281856.

The previous prime is 141242513. The next prime is 141242537. The reversal of 141242520 is 25242141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445402 + ... + 445718.

It is an arithmetic number, because the mean of its divisors is an integer number (3434400).

Almost surely, 2141242520 is an apocalyptic number.

141242520 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 141242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219801600).

141242520 is an abundant number, since it is smaller than the sum of its proper divisors (298360680).

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

141242520 is a wasteful number, since it uses less digits than its factorization.

141242520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 141242520 is about 11884.5496338734. The cubic root of 141242520 is about 520.7810255451.

Adding to 141242520 its reverse (25242141), we get a palindrome (166484661).

The spelling of 141242520 in words is "one hundred forty-one million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 79 94 120 141 158 188 235 237 282 316 317 376 395 470 474 564 632 634 705 790 940 948 951 1128 1185 1268 1410 1580 1585 1880 1896 1902 2370 2536 2820 3160 3170 3713 3804 4740 4755 5640 6340 7426 7608 9480 9510 11139 12680 14852 14899 18565 19020 22278 25043 29704 29798 37130 38040 44556 44697 50086 55695 59596 74260 74495 75129 89112 89394 100172 111390 119192 125215 148520 148990 150258 178788 200344 222780 223485 250430 297980 300516 357576 375645 445560 446970 500860 595960 601032 751290 893940 1001720 1177021 1502580 1787880 2354042 3005160 3531063 4708084 5885105 7062126 9416168 11770210 14124252 17655315 23540420 28248504 35310630 47080840 70621260 141242520