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157303146 = 237112132381
BaseRepresentation
bin10010110000001…
…00000101101010
3101221222211100110
421120010011222
5310232200041
623335315150
73620024520
oct1130040552
9357884313
10157303146
1180880200
124481bab6
13267880b0
1416c6a310
15dc23516
hex960416a

157303146 has 96 divisors (see below), whose sum is σ = 425787264. Its totient is φ = 37699200.

The previous prime is 157303117. The next prime is 157303189. The reversal of 157303146 is 641303751.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64876 + ... + 67256.

It is an arithmetic number, because the mean of its divisors is an integer number (4435284).

Almost surely, 2157303146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157303146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212893632).

157303146 is an abundant number, since it is smaller than the sum of its proper divisors (268484118).

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

157303146 is a wasteful number, since it uses less digits than its factorization.

157303146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 157303146 is about 12542.0550947602. The cubic root of 157303146 is about 539.8160621817.

Adding to 157303146 its reverse (641303751), we get a palindrome (798606897).

It can be divided in two parts, 157 and 303146, that added together give a palindrome (303303).

The spelling of 157303146 in words is "one hundred fifty-seven million, three hundred three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2381 2541 3003 3146 4719 4762 5082 6006 7143 9438 11011 14286 16667 22022 26191 30953 33033 33334 50001 52382 61906 66066 78573 92859 100002 157146 183337 185718 216671 288101 340483 366674 433342 550011 576202 650013 680966 864303 1021449 1100022 1300026 1728606 2016707 2042898 2383381 3745313 4033414 4766762 6050121 7150143 7490626 11235939 12100242 14300286 22471878 26217191 52434382 78651573 157303146