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400520520 = 233257914083
BaseRepresentation
bin10111110111110…
…111010101001000
31000220122112212100
4113313313111020
51310013124040
6103424313400
712632240211
oct2767672510
91026575770
10400520520
111960a0aa4
12b2172860
1364c944ba
143b29c408
1525267b30
hex17df7548

400520520 has 96 divisors (see below), whose sum is σ = 1318262400. Its totient is φ = 105446016.

The previous prime is 400520501. The next prime is 400520521. The reversal of 400520520 is 25025004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400520493 and 400520502.

It is not an unprimeable number, because it can be changed into a prime (400520521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21399 + ... + 35481.

It is an arithmetic number, because the mean of its divisors is an integer number (13731900).

Almost surely, 2400520520 is an apocalyptic number.

400520520 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 400520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659131200).

400520520 is an abundant number, since it is smaller than the sum of its proper divisors (917741880).

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

400520520 is a wasteful number, since it uses less digits than its factorization.

400520520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 400520520 is about 20013.0087692980. The cubic root of 400520520 is about 737.1257632081.

Adding to 400520520 its reverse (25025004), we get a palindrome (425545524).

The spelling of 400520520 in words is "four hundred million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 14083 14220 28166 28440 42249 56332 70415 84498 112664 126747 140830 168996 211245 253494 281660 337992 422490 506988 563320 633735 844980 1013976 1112557 1267470 1689960 2225114 2534940 3337671 4450228 5069880 5562785 6675342 8900456 10013013 11125570 13350684 16688355 20026026 22251140 26701368 33376710 40052052 44502280 50065065 66753420 80104104 100130130 133506840 200260260 400520520