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676152320 = 2105413221
BaseRepresentation
bin101000010011010…
…100010000000000
31202010022002121112
4220103110100000
52341043333240
6151032142452
722520125364
oct5023242000
91663262545
10676152320
11317741278
1216a537a28
13aa10c83c
1465b2b2a4
153e561665
hex284d4400

676152320 has 88 divisors (see below), whose sum is σ = 1662049368. Its totient is φ = 263782400.

The previous prime is 676152311. The next prime is 676152343. The reversal of 676152320 is 23251676.

It can be written as a sum of positive squares in 4 ways, for example, as 22429696 + 653722624 = 4736^2 + 25568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208310 + ... + 211530.

Almost surely, 2676152320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831024684).

676152320 is an abundant number, since it is smaller than the sum of its proper divisors (985897048).

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

676152320 is a wasteful number, since it uses less digits than its factorization.

676152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 676152320 is about 26002.9290657803. The cubic root of 676152320 is about 877.7042086620.

The spelling of 676152320 in words is "six hundred seventy-six million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 2560 2624 3221 3280 5120 5248 6442 6560 10496 12884 13120 16105 20992 25768 26240 32210 41984 51536 52480 64420 103072 104960 128840 132061 206144 209920 257680 264122 412288 515360 528244 660305 824576 1030720 1056488 1320610 1649152 2061440 2112976 2641220 3298304 4122880 4225952 5282440 8245760 8451904 10564880 16491520 16903808 21129760 33807616 42259520 67615232 84519040 135230464 169038080 338076160 676152320