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153233460 = 22325851297
BaseRepresentation
bin10010010001000…
…10100000110100
3101200100001210100
421020202200310
5303211432320
623112154100
73540314532
oct1110424064
9350301710
10153233460
1179550626
1243398930
13259918b3
14164cb152
15d6bc790
hex9222834

153233460 has 36 divisors (see below), whose sum is σ = 464808708. Its totient is φ = 40862208.

The previous prime is 153233447. The next prime is 153233473. The reversal of 153233460 is 64332351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153233447) and next prime (153233473).

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 119639844 = 5796^2 + 10938^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425469 + ... + 425828.

It is an arithmetic number, because the mean of its divisors is an integer number (12911353).

Almost surely, 2153233460 is an apocalyptic number.

153233460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153233460 is an abundant number, since it is smaller than the sum of its proper divisors (311575248).

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

153233460 is a wasteful number, since it uses less digits than its factorization.

153233460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851312 (or 851307 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 153233460 is about 12378.7503408058. The cubic root of 153233460 is about 535.1200243129.

The spelling of 153233460 in words is "one hundred fifty-three million, two hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 851297 1702594 2553891 3405188 4256485 5107782 7661673 8512970 10215564 12769455 15323346 17025940 25538910 30646692 38308365 51077820 76616730 153233460