Search a number
-
+
157241712 = 24329374371
BaseRepresentation
bin10010101111101…
…01000101110000
3101221212201002010
421113311011300
5310223213322
623334122520
73616350435
oct1127650560
9357781063
10157241712
1180839031
12447b0440
1326766144
1416c51b8c
15dc1020c
hex95f5170

157241712 has 160 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 47416320.

The previous prime is 157241677. The next prime is 157241719. The reversal of 157241712 is 217142751.

157241712 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157241712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157241719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2214637 + ... + 2214707.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2157241712 is an apocalyptic number.

157241712 is a gapful number since it is divisible by the number (12) 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 157241712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

157241712 is an abundant number, since it is smaller than the sum of its proper divisors (290586768).

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

157241712 is a wasteful number, since it uses less digits than its factorization.

157241712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 157241712 is about 12539.6057354288. The cubic root of 157241712 is about 539.7457788276.

The spelling of 157241712 in words is "one hundred fifty-seven million, two hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 43 48 58 71 74 86 87 111 116 129 142 148 172 174 213 222 232 258 284 296 344 348 426 444 464 516 568 592 688 696 852 888 1032 1073 1136 1247 1392 1591 1704 1776 2059 2064 2146 2494 2627 3053 3182 3219 3408 3741 4118 4292 4773 4988 5254 6106 6177 6364 6438 7482 7881 8236 8584 9159 9546 9976 10508 12212 12354 12728 12876 14964 15762 16472 17168 18318 19092 19952 21016 24424 24708 25456 25752 29928 31524 32944 36636 38184 42032 46139 48848 49416 51504 59856 63048 73272 76183 76368 88537 92278 98832 112961 126096 138417 146544 152366 177074 184556 225922 228549 265611 276834 304732 338883 354148 369112 451844 457098 531222 553668 609464 677766 708296 738224 903688 914196 1062444 1107336 1218928 1355532 1416592 1807376 1828392 2124888 2214672 2711064 3275869 3656784 4249776 5422128 6551738 9827607 13103476 19655214 26206952 39310428 52413904 78620856 157241712