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424081920 = 293555219
BaseRepresentation
bin11001010001101…
…111101000000000
31002112222121000210
4121101233220000
51332031110140
6110025314120
713336431303
oct3121575000
91075877023
10424081920
111a8424029
12ba035940
1369b23962
1440472b3a
152736dd80
hex1946fa00

424081920 has 80 divisors (see below), whose sum is σ = 1355761440. Its totient is φ = 113086464.

The previous prime is 424081907. The next prime is 424081939. The reversal of 424081920 is 29180424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19930 + ... + 35289.

It is an arithmetic number, because the mean of its divisors is an integer number (16947018).

Almost surely, 2424081920 is an apocalyptic number.

424081920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424081920 is an abundant number, since it is smaller than the sum of its proper divisors (931679520).

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

424081920 is an equidigital number, since it uses as much as digits as its factorization.

424081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55245 (or 55229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 424081920 is about 20593.2493793476. The cubic root of 424081920 is about 751.3055305790.

The spelling of 424081920 in words is "four hundred twenty-four million, eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 55219 110438 165657 220876 276095 331314 441752 552190 662628 828285 883504 1104380 1325256 1656570 1767008 2208760 2650512 3313140 3534016 4417520 5301024 6626280 7068032 8835040 10602048 13252560 14136064 17670080 21204096 26505120 28272128 35340160 42408192 53010240 70680320 84816384 106020480 141360640 212040960 424081920