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10406257420 = 2251364761861
BaseRepresentation
bin10011011000100001…
…01110001100001100
3222212020012122112111
421230100232030030
5132303000214140
64440334113404
7515606504626
oct115420561414
928766178474
1010406257420
114460074249
12202504b864
13c9ac0cc90
1470a0b5c16
1540d8aa7ea
hex26c42e30c

10406257420 has 48 divisors (see below), whose sum is σ = 23570906688. Its totient is φ = 3836309760.

The previous prime is 10406257343. The next prime is 10406257439. The reversal of 10406257420 is 2475260401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137290 + ... + 199150.

It is an arithmetic number, because the mean of its divisors is an integer number (491060556).

Almost surely, 210406257420 is an apocalyptic number.

10406257420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406257420 is an abundant number, since it is smaller than the sum of its proper divisors (13164649268).

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

10406257420 is a wasteful number, since it uses less digits than its factorization.

10406257420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62530 (or 62528 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 10406257420 in words is "ten billion, four hundred six million, two hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 647 1294 2588 3235 6470 8411 12940 16822 33644 42055 61861 84110 123722 168220 247444 309305 618610 804193 1237220 1608386 3216772 4020965 8041930 16083860 40024067 80048134 160096268 200120335 400240670 520312871 800481340 1040625742 2081251484 2601564355 5203128710 10406257420