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404587680 = 25357120413
BaseRepresentation
bin11000000111011…
…000010010100000
31001012022011221220
4120013120102200
51312033301210
6104051415040
713011636630
oct3007302240
91035264856
10404587680
11198419792
12b35b4480
1365a897c3
143ba3a6c0
15257bcc70
hex181d84a0

404587680 has 96 divisors (see below), whose sum is σ = 1456527744. Its totient is φ = 92476416.

The previous prime is 404587669. The next prime is 404587693. The reversal of 404587680 is 86785404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 56847 + ... + 63566.

It is an arithmetic number, because the mean of its divisors is an integer number (15172164).

Almost surely, 2404587680 is an apocalyptic number.

404587680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404587680 is an abundant number, since it is smaller than the sum of its proper divisors (1051940064).

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

404587680 is a wasteful number, since it uses less digits than its factorization.

404587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120438 (or 120430 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 404587680 is about 20114.3650160774. The cubic root of 404587680 is about 739.6124583880.

The spelling of 404587680 in words is "four hundred four million, five hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 120413 240826 361239 481652 602065 722478 842891 963304 1204130 1444956 1685782 1806195 1926608 2408260 2528673 2889912 3371564 3612390 3853216 4214455 4816520 5057346 5779824 6743128 7224780 8428910 9633040 10114692 11559648 12643365 13486256 14449560 16857820 19266080 20229384 25286730 26972512 28899120 33715640 40458768 50573460 57798240 67431280 80917536 101146920 134862560 202293840 404587680