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142597728 = 25327135441
BaseRepresentation
bin10000111111111…
…01111001100000
3100221022201022100
420133331321200
5243001111403
622052210400
73351026550
oct1037757140
9327281270
10142597728
1173546869
123b909a00
1323709870
1414d1d160
15c7bb2a3
hex87fde60

142597728 has 144 divisors (see below), whose sum is σ = 499183776. Its totient is φ = 37601280.

The previous prime is 142597711. The next prime is 142597729. The reversal of 142597728 is 827795241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1425977282 = 40668224061523968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142597729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23488 + ... + 28928.

It is an arithmetic number, because the mean of its divisors is an integer number (3466554).

Almost surely, 2142597728 is an apocalyptic number.

142597728 is a gapful number since it is divisible by the number (18) 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 142597728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249591888).

142597728 is an abundant number, since it is smaller than the sum of its proper divisors (356586048).

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

142597728 is a wasteful number, since it uses less digits than its factorization.

142597728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5466 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 142597728 is about 11941.4290602088. The cubic root of 142597728 is about 522.4413407588.

The spelling of 142597728 in words is "one hundred forty-two million, five hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 5441 6552 8736 10882 13104 16323 21764 26208 32646 38087 43528 48969 65292 70733 76174 87056 97938 114261 130584 141466 152348 174112 195876 212199 228522 261168 282932 304696 342783 391752 424398 457044 495131 522336 565864 609392 636597 685566 783504 848796 914088 990262 1131728 1218784 1273194 1371132 1485393 1567008 1697592 1828176 1980524 2263456 2546388 2742264 2970786 3395184 3656352 3961048 4456179 5092776 5484528 5941572 6790368 7922096 8912358 10185552 10969056 11883144 15844192 17824716 20371104 23766288 35649432 47532576 71298864 142597728