Search a number
-
+
157014330 = 2351123137151
BaseRepresentation
bin10010101101111…
…01100100111010
3101221110011011120
421112331210322
5310143424310
623325210110
73614412504
oct1126754472
9357404146
10157014330
11806a3210
1244700936
13266b67b5
1416bd2d74
15dbb7b70
hex95bd93a

157014330 has 128 divisors (see below), whose sum is σ = 434958336. Its totient is φ = 35904000.

The previous prime is 157014301. The next prime is 157014367. The reversal of 157014330 is 33410751.

It is a self number, because there is not a number n which added to its sum of digits gives 157014330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1039755 + ... + 1039905.

It is an arithmetic number, because the mean of its divisors is an integer number (3398112).

Almost surely, 2157014330 is an apocalyptic number.

157014330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157014330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217479168).

157014330 is an abundant number, since it is smaller than the sum of its proper divisors (277944006).

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

157014330 is a wasteful number, since it uses less digits than its factorization.

157014330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 157014330 is about 12530.5359023467. The cubic root of 157014330 is about 539.4854838577.

The spelling of 157014330 in words is "one hundred fifty-seven million, fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 137 138 151 165 230 253 274 302 330 345 411 453 506 685 690 755 759 822 906 1265 1370 1507 1510 1518 1661 2055 2265 2530 3014 3151 3322 3473 3795 4110 4521 4530 4983 6302 6946 7535 7590 8305 9042 9453 9966 10419 15070 15755 16610 17365 18906 20687 20838 22605 24915 31510 34661 34730 38203 41374 45210 47265 49830 52095 62061 69322 76406 94530 103435 103983 104190 114609 124122 173305 191015 206870 207966 227557 229218 310305 346610 382030 455114 475801 519915 573045 620610 682671 951602 1039830 1137785 1146090 1365342 1427403 2275570 2379005 2854806 3413355 4758010 5233811 6826710 7137015 10467622 14274030 15701433 26169055 31402866 52338110 78507165 157014330