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153996340 = 2257979661
BaseRepresentation
bin10010010110111…
…00110000110100
3101201202211021011
421023130300310
5303410340330
623140402004
73546642631
oct1113346064
9351684234
10153996340
1179a21803
12436a6304
1325b9abc4
1416649188
15d7bd82a
hex92dcc34

153996340 has 24 divisors (see below), whose sum is σ = 323831592. Its totient is φ = 61514880.

The previous prime is 153996329. The next prime is 153996343. The reversal of 153996340 is 43699351.

153996340 = T179 + T180 + ... + T975.

It can be written as a sum of positive squares in 4 ways, for example, as 781456 + 153214884 = 884^2 + 12378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153996293 and 153996302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153996343) 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 7 ways as a sum of consecutive naturals, for example, 11110 + ... + 20770.

It is an arithmetic number, because the mean of its divisors is an integer number (13492983).

Almost surely, 2153996340 is an apocalyptic number.

153996340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153996340 is an abundant number, since it is smaller than the sum of its proper divisors (169835252).

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

153996340 is a wasteful number, since it uses less digits than its factorization.

153996340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 153996340 is about 12409.5261795123. The cubic root of 153996340 is about 536.0065947432.

It can be divided in two parts, 1539 and 96340, that added together give a palindrome (97879).

The spelling of 153996340 in words is "one hundred fifty-three million, nine hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 797 1594 3188 3985 7970 9661 15940 19322 38644 48305 96610 193220 7699817 15399634 30799268 38499085 76998170 153996340