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157113184 = 25172329433
BaseRepresentation
bin10010101110101…
…01101101100000
3101221122011202211
421113111231200
5310210110214
623331251504
73615303634
oct1127255540
9357564684
10157113184
1180760508
1244749b94
132671c7a7
1416c1adc4
15dbd70c4
hex95d5b60

157113184 has 96 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 68124672.

The previous prime is 157113181. The next prime is 157113193. The reversal of 157113184 is 481311751.

It is a happy number.

157113184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157113181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362632 + ... + 363064.

It is an arithmetic number, because the mean of its divisors is an integer number (3691170).

Almost surely, 2157113184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157113184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

157113184 is an abundant number, since it is smaller than the sum of its proper divisors (197239136).

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

157113184 is a wasteful number, since it uses less digits than its factorization.

157113184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 3360, while the sum is 31.

The square root of 157113184 is about 12534.4798057199. The cubic root of 157113184 is about 539.5986775811.

The spelling of 157113184 in words is "one hundred fifty-seven million, one hundred thirteen thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 23 29 32 34 46 58 68 92 116 136 184 232 272 368 391 433 464 493 544 667 736 782 866 928 986 1334 1564 1732 1972 2668 3128 3464 3944 5336 6256 6928 7361 7888 9959 10672 11339 12512 12557 13856 14722 15776 19918 21344 22678 25114 29444 39836 45356 50228 58888 79672 90712 100456 117776 159344 169303 181424 200912 213469 235552 288811 318688 338606 362848 401824 426938 577622 677212 853876 1155244 1354424 1707752 2310488 2708848 3415504 4620976 4909787 5417696 6831008 9241952 9819574 19639148 39278296 78556592 157113184