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425460120 = 233531114371
BaseRepresentation
bin11001010111000…
…000000110011000
31002122120121120020
4121113000012120
51332404210440
6110115030440
713354231341
oct3127000630
91078517506
10425460120
111a9185538
12ba59b420
136a1b7067
14407110c8
15275423d0
hex195c0198

425460120 has 64 divisors (see below), whose sum is σ = 1317565440. Its totient is φ = 109795200.

The previous prime is 425460107. The next prime is 425460137. The reversal of 425460120 is 21064524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 53466 + ... + 60905.

It is an arithmetic number, because the mean of its divisors is an integer number (20586960).

Almost surely, 2425460120 is an apocalyptic number.

425460120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425460120 is an abundant number, since it is smaller than the sum of its proper divisors (892105320).

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

425460120 is a wasteful number, since it uses less digits than its factorization.

425460120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114416 (or 114412 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 425460120 is about 20626.6846584709. The cubic root of 425460120 is about 752.1185257194.

The spelling of 425460120 in words is "four hundred twenty-five million, four hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 114371 228742 343113 457484 571855 686226 914968 1143710 1372452 1715565 2287420 2744904 3431130 3545501 4574840 6862260 7091002 10636503 13724520 14182004 17727505 21273006 28364008 35455010 42546012 53182515 70910020 85092024 106365030 141820040 212730060 425460120