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153020840 = 23572323761
BaseRepresentation
bin10010001111011…
…10100110101000
3101122221021010112
421013232212220
5303133131330
623103433452
73535440620
oct1107564650
9348837115
10153020840
1179415905
12432b5888
1325918b9b
1416473880
15d679795
hex91ee9a8

153020840 has 64 divisors (see below), whose sum is σ = 410607360. Its totient is φ = 50181120.

The previous prime is 153020809. The next prime is 153020843. The reversal of 153020840 is 48020351.

153020840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (153020843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5441 + ... + 18320.

It is an arithmetic number, because the mean of its divisors is an integer number (6415740).

Almost surely, 2153020840 is an apocalyptic number.

153020840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153020840 is an abundant number, since it is smaller than the sum of its proper divisors (257586520).

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

153020840 is a wasteful number, since it uses less digits than its factorization.

153020840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23802 (or 23798 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 153020840 is about 12370.1592552400. The cubic root of 153020840 is about 534.8724067576.

The spelling of 153020840 in words is "one hundred fifty-three million, twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 23761 47522 95044 118805 166327 190088 237610 332654 475220 546503 665308 831635 950440 1093006 1330616 1663270 2186012 2732515 3326540 3825521 4372024 5465030 6653080 7651042 10930060 15302084 19127605 21860120 30604168 38255210 76510420 153020840