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153020420 = 22572334691
BaseRepresentation
bin10010001111011…
…10100000000100
3101122221020112222
421013232200010
5303133123140
623103431512
73535436450
oct1107564004
9348836488
10153020420
1179415563
12432b5598
1325918937
1416473660
15d6795b5
hex91ee804

153020420 has 48 divisors (see below), whose sum is σ = 368903808. Its totient is φ = 52227840.

The previous prime is 153020401. The next prime is 153020431. The reversal of 153020420 is 24020351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30275 + ... + 34965.

It is an arithmetic number, because the mean of its divisors is an integer number (7685496).

Almost surely, 2153020420 is an apocalyptic number.

153020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184451904).

153020420 is an abundant number, since it is smaller than the sum of its proper divisors (215883388).

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

153020420 is a wasteful number, since it uses less digits than its factorization.

153020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 153020420 is about 12370.1422788907. The cubic root of 153020420 is about 534.8719173981.

Adding to 153020420 its reverse (24020351), we get a palindrome (177040771).

The spelling of 153020420 in words is "one hundred fifty-three million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 3262 4660 4691 6524 8155 9382 16310 18764 23455 32620 32837 46910 65674 93820 131348 164185 328370 656740 1093003 2186006 4372012 5465015 7651021 10930030 15302042 21860060 30604084 38255105 76510210 153020420