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157936506 = 23721331243
BaseRepresentation
bin10010110100111…
…10101101111010
3102000012000011020
421122132231322
5310412432011
623401043310
73625303200
oct1132365572
9360160136
10157936506
1181173042
1244a86536
132694a470
1416d93070
15dceb006
hex969eb7a

157936506 has 144 divisors (see below), whose sum is σ = 418394592. Its totient is φ = 39372480.

The previous prime is 157936489. The next prime is 157936517. The reversal of 157936506 is 605639751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3672921 + ... + 3672963.

It is an arithmetic number, because the mean of its divisors is an integer number (2905518).

Almost surely, 2157936506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157936506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209197296).

157936506 is an abundant number, since it is smaller than the sum of its proper divisors (260458086).

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

157936506 is a wasteful number, since it uses less digits than its factorization.

157936506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 157936506 is about 12567.2791804750. The cubic root of 157936506 is about 540.5395909537.

The spelling of 157936506 in words is "one hundred fifty-seven million, nine hundred thirty-six thousand, five hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 43 49 62 78 86 91 93 98 129 147 182 186 217 258 273 294 301 403 434 546 559 602 637 651 806 903 961 1118 1209 1274 1302 1333 1519 1677 1806 1911 1922 2107 2418 2666 2821 2883 3038 3354 3822 3913 3999 4214 4557 5642 5766 6321 6727 7826 7998 8463 9114 9331 11739 12493 12642 13454 16926 17329 18662 19747 20181 23478 24986 27391 27993 34658 37479 39494 40362 41323 47089 51987 54782 55986 59241 65317 74958 82173 82646 87451 94178 103974 118482 121303 123969 130634 141267 164346 174902 195951 242606 247938 262353 282534 289261 363909 391902 524706 537199 578522 612157 727818 849121 867783 1074398 1224314 1611597 1698242 1735566 1836471 2024827 2547363 3223194 3672942 3760393 4049654 5094726 6074481 7520786 11281179 12148962 22562358 26322751 52645502 78968253 157936506