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153466420 = 225192511609
BaseRepresentation
bin10010010010110…
…11011000110100
3101200202220100111
421021123120310
5303241411140
623121152404
73542304652
oct1111333064
9350686314
10153466420
117969a658
124348b704
1325a43943
141654bdd2
15d7167ea
hex925b634

153466420 has 48 divisors (see below), whose sum is σ = 340804800. Its totient is φ = 57888000.

The previous prime is 153466409. The next prime is 153466447. The reversal of 153466420 is 24664351.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 94576 + ... + 96184.

It is an arithmetic number, because the mean of its divisors is an integer number (7100100).

Almost surely, 2153466420 is an apocalyptic number.

153466420 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 153466420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170402400).

153466420 is an abundant number, since it is smaller than the sum of its proper divisors (187338380).

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

153466420 is a wasteful number, since it uses less digits than its factorization.

153466420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 153466420 is about 12388.1564407300. The cubic root of 153466420 is about 535.3910670301.

The spelling of 153466420 in words is "one hundred fifty-three million, four hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 251 380 502 1004 1255 1609 2510 3218 4769 5020 6436 8045 9538 16090 19076 23845 30571 32180 47690 61142 95380 122284 152855 305710 403859 611420 807718 1615436 2019295 4038590 7673321 8077180 15346642 30693284 38366605 76733210 153466420