Search a number
-
+
157619121 = 311171911471
BaseRepresentation
bin10010110010100…
…01001110110001
3101222120212210020
421121101032301
5310322302441
623350154053
73622511652
oct1131211661
9358525706
10157619121
1180a76640
1244952929
1326868b6a
1416d0d529
15dc86e66
hex96513b1

157619121 has 32 divisors (see below), whose sum is σ = 244187136. Its totient is φ = 89376000.

The previous prime is 157619113. The next prime is 157619167. The reversal of 157619121 is 121916751.

It is not a de Polignac number, because 157619121 - 23 = 157619113 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (157619101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106416 + ... + 107886.

It is an arithmetic number, because the mean of its divisors is an integer number (7630848).

Almost surely, 2157619121 is an apocalyptic number.

157619121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157619121 is a deficient number, since it is larger than the sum of its proper divisors (86568015).

157619121 is a wasteful number, since it uses less digits than its factorization.

157619121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693.

The product of its digits is 3780, while the sum is 33.

The square root of 157619121 is about 12554.6453952312. The cubic root of 157619121 is about 540.1772634776.

The spelling of 157619121 in words is "one hundred fifty-seven million, six hundred nineteen thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 191 561 573 1471 2101 3247 4413 6303 9741 16181 25007 35717 48543 75021 107151 275077 280961 825231 842883 3090571 4776337 9271713 14329011 52539707 157619121