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153236970 = 23256012833
BaseRepresentation
bin10010010001000…
…11010111101010
3101200100020121100
421020203113222
5303212040340
623112222230
73540331005
oct1110432752
9350306540
10153236970
1179553227
124339a976
1325993383
14164cc53c
15d6bd830
hex92235ea

153236970 has 48 divisors (see below), whose sum is σ = 399219912. Its totient is φ = 40780800.

The previous prime is 153236969. The next prime is 153236977. The reversal of 153236970 is 79632351.

153236970 is a `hidden beast` number, since 1 + 532 + 36 + 97 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137100681 + 16136289 = 11709^2 + 4017^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (153236977) 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 23 ways as a sum of consecutive naturals, for example, 52674 + ... + 55506.

Almost surely, 2153236970 is an apocalyptic number.

153236970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153236970 is an abundant number, since it is smaller than the sum of its proper divisors (245982942).

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

153236970 is a wasteful number, since it uses less digits than its factorization.

153236970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 153236970 is about 12378.8921152097. The cubic root of 153236970 is about 535.1241101415.

The spelling of 153236970 in words is "one hundred fifty-three million, two hundred thirty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 601 1202 1803 2833 3005 3606 5409 5666 6010 8499 9015 10818 14165 16998 18030 25497 27045 28330 42495 50994 54090 84990 127485 254970 1702633 3405266 5107899 8513165 10215798 15323697 17026330 25539495 30647394 51078990 76618485 153236970