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400615680 = 2835104327
BaseRepresentation
bin10111111000001…
…110100100000000
31000220211101101210
4113320032210000
51310024200210
6103430330120
712633114513
oct2770164400
91026741353
10400615680
11196156543
12b21b9940
1364cc88ca
143b2c4d7a
1525285e20
hex17e0e900

400615680 has 72 divisors (see below), whose sum is σ = 1279478592. Its totient is φ = 106829824.

The previous prime is 400615673. The next prime is 400615681. The reversal of 400615680 is 86516004.

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

It is not an unprimeable number, because it can be changed into a prime (400615681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48324 + ... + 56003.

It is an arithmetic number, because the mean of its divisors is an integer number (17770536).

Almost surely, 2400615680 is an apocalyptic number.

400615680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400615680 is an abundant number, since it is smaller than the sum of its proper divisors (878862912).

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

400615680 is a wasteful number, since it uses less digits than its factorization.

400615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104351 (or 104337 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 400615680 is about 20015.3860817122. The cubic root of 400615680 is about 737.1841366910.

The spelling of 400615680 in words is "four hundred million, six hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 104327 208654 312981 417308 521635 625962 834616 1043270 1251924 1564905 1669232 2086540 2503848 3129810 3338464 4173080 5007696 6259620 6676928 8346160 10015392 12519240 13353856 16692320 20030784 25038480 26707712 33384640 40061568 50076960 66769280 80123136 100153920 133538560 200307840 400615680