Search a number
-
+
157192035 = 357111319229
BaseRepresentation
bin10010101111010…
…00111101100011
3101221210011221020
421113220331203
5310220121120
623333100523
73616052550
oct1127507543
9357704836
10157192035
1180804780
1244787743
1326749650
1416c3ba27
15dc00640
hex95e8f63

157192035 has 192 divisors, whose sum is σ = 368686080. Its totient is φ = 55157760.

The previous prime is 157192001. The next prime is 157192037. The reversal of 157192035 is 530291751.

It is not a de Polignac number, because 157192035 - 26 = 157191971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 157191987 and 157192005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157192037) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5420401 + ... + 5420429.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2157192035 is an apocalyptic number.

157192035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157192035 is an abundant number, since it is smaller than the sum of its proper divisors (211494045).

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

157192035 is a wasteful number, since it uses less digits than its factorization.

157192035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 157192035 is about 12537.6247750521. The cubic root of 157192035 is about 539.6889326408.

The spelling of 157192035 in words is "one hundred fifty-seven million, one hundred ninety-two thousand, thirty-five".