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426920 = 23513821
BaseRepresentation
bin1101000001110101000
3210200121212
41220032220
5102130140
613052252
73425444
oct1501650
9720555
10426920
1127182a
12187088
1311c420
14b1824
1586765
hex683a8

426920 has 32 divisors (see below), whose sum is σ = 1035720. Its totient is φ = 157440.

The previous prime is 426919. The next prime is 426931. The reversal of 426920 is 29624.

It can be written as a sum of positive squares in 4 ways, for example, as 217156 + 209764 = 466^2 + 458^2 .

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, 110 + ... + 930.

2426920 is an apocalyptic number.

426920 is a gapful number since it is divisible by the number (40) 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 426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517860).

426920 is an abundant number, since it is smaller than the sum of its proper divisors (608800).

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

426920 is a wasteful number, since it uses less digits than its factorization.

426920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 426920 is about 653.3911539040. The cubic root of 426920 is about 75.2977790997.

The spelling of 426920 in words is "four hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 821 1642 3284 4105 6568 8210 10673 16420 21346 32840 42692 53365 85384 106730 213460 426920