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157127334 = 23713417019
BaseRepresentation
bin10010101110110…
…01001010100110
3101221122220011220
421113121022212
5310211033314
623331441210
73615363120
oct1127311246
9357586156
10157127334
1180770101
1244756206
1326726070
1416c22210
15dbdb3a9
hex95d92a6

157127334 has 64 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 40423680.

The previous prime is 157127323. The next prime is 157127353. The reversal of 157127334 is 433721751.

157127334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157127295 and 157127304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18877 + ... + 25895.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2157127334 is an apocalyptic number.

157127334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157127334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

157127334 is an abundant number, since it is smaller than the sum of its proper divisors (239137626).

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

157127334 is a wasteful number, since it uses less digits than its factorization.

157127334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7085.

The product of its digits is 17640, while the sum is 33.

The square root of 157127334 is about 12535.0442360608. The cubic root of 157127334 is about 539.6148762898.

The spelling of 157127334 in words is "one hundred fifty-seven million, one hundred twenty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 861 1066 1599 1722 3198 3731 7019 7462 11193 14038 21057 22386 42114 49133 91247 98266 147399 182494 273741 287779 294798 547482 575558 638729 863337 1277458 1726674 1916187 2014453 3741127 3832374 4028906 6043359 7482254 11223381 12086718 22446762 26187889 52375778 78563667 157127334