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679868400 = 24352566557
BaseRepresentation
bin101000100001011…
…111011111110000
31202101021220010010
4220201133133300
52343021242100
6151243534520
722563533421
oct5041373760
91671256103
10679868400
1131984a212
1216b82a440
13aab110c3
1466417648
153ea47750
hex2885f7f0

679868400 has 60 divisors (see below), whose sum is σ = 2177848952. Its totient is φ = 181297920.

The previous prime is 679868383. The next prime is 679868401. The reversal of 679868400 is 4868976.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 679868400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679868401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282079 + ... + 284478.

Almost surely, 2679868400 is an apocalyptic number.

679868400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

679868400 is an abundant number, since it is smaller than the sum of its proper divisors (1497980552).

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

679868400 is a wasteful number, since it uses less digits than its factorization.

679868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566578 (or 566567 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 679868400 is about 26074.2861839016. The cubic root of 679868400 is about 879.3092030477.

The spelling of 679868400 in words is "six hundred seventy-nine million, eight hundred sixty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 566557 1133114 1699671 2266228 2832785 3399342 4532456 5665570 6798684 8498355 9064912 11331140 13597368 14163925 16996710 22662280 27194736 28327850 33993420 42491775 45324560 56655700 67986840 84983550 113311400 135973680 169967100 226622800 339934200 679868400