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426001920 = 293555469
BaseRepresentation
bin11001011001000…
…100011000000000
31002200121010202220
4121121010120000
51333024030140
6110134411040
713361646051
oct3131043000
91080533686
10426001920
111a9515603
12ba800a80
136a346856
1440812728
15275ecbd0
hex19644600

426001920 has 80 divisors (see below), whose sum is σ = 1361899440. Its totient is φ = 113598464.

The previous prime is 426001871. The next prime is 426001991. The reversal of 426001920 is 29100624.

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 (24).

It is a congruent number.

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, 20055 + ... + 35414.

It is an arithmetic number, because the mean of its divisors is an integer number (17023743).

Almost surely, 2426001920 is an apocalyptic number.

426001920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426001920 is an abundant number, since it is smaller than the sum of its proper divisors (935897520).

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

426001920 is an equidigital number, since it uses as much as digits as its factorization.

426001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55495 (or 55479 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 426001920 is about 20639.8139526499. The cubic root of 426001920 is about 752.4376507835.

The spelling of 426001920 in words is "four hundred twenty-six million, 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 55469 110938 166407 221876 277345 332814 443752 554690 665628 832035 887504 1109380 1331256 1664070 1775008 2218760 2662512 3328140 3550016 4437520 5325024 6656280 7100032 8875040 10650048 13312560 14200064 17750080 21300096 26625120 28400128 35500160 42600192 53250240 71000320 85200384 106500480 142000640 213000960 426001920