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679998144 = 26371931859
BaseRepresentation
bin101000100001111…
…111001011000000
31202101112111002110
4220201333023000
52343034420034
6151250415320
722564613610
oct5041771300
91671474073
10679998144
11319928741
1216b891540
13aab58187
146644ca40
153ea70de9
hex2887f2c0

679998144 has 224 divisors, whose sum is σ = 2236825600. Its totient is φ = 177914880.

The previous prime is 679998131. The next prime is 679998157. The reversal of 679998144 is 441899976.

It is an interprime number because it is at equal distance from previous prime (679998131) and next prime (679998157).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791187 + ... + 792045.

Almost surely, 2679998144 is an apocalyptic number.

679998144 is a gapful number since it is divisible by the number (64) 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 679998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118412800).

679998144 is an abundant number, since it is smaller than the sum of its proper divisors (1556827456).

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

679998144 is a wasteful number, since it uses less digits than its factorization.

679998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 679998144 is about 26076.7740336108. The cubic root of 679998144 is about 879.3651343803.

The spelling of 679998144 in words is "six hundred seventy-nine million, nine hundred ninety-eight thousand, one hundred forty-four".