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679113240 = 2335132291901
BaseRepresentation
bin101000011110100…
…111001000011000
31202022212112020020
4220132213020120
52342323110430
6151215430440
722554236661
oct5036471030
91668775206
10679113240
11319383913
1216b525420
13aa908470
146629c368
153e948b10
hex287a7218

679113240 has 128 divisors (see below), whose sum is σ = 2204798400. Its totient is φ = 166348800.

The previous prime is 679113191. The next prime is 679113277. The reversal of 679113240 is 42311976.

679113240 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×6791132402 = 922389585486595200, which contains 22 as substring.

It is a congruent number.

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, 356290 + ... + 358190.

Almost surely, 2679113240 is an apocalyptic number.

679113240 is a gapful number since it is divisible by the number (60) 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 679113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102399200).

679113240 is an abundant number, since it is smaller than the sum of its proper divisors (1525685160).

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

679113240 is a wasteful number, since it uses less digits than its factorization.

679113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 679113240 is about 26059.8012271775. The cubic root of 679113240 is about 878.9835198511.

The spelling of 679113240 in words is "six hundred seventy-nine million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 229 260 312 390 458 520 687 780 916 1145 1374 1560 1832 1901 2290 2748 2977 3435 3802 4580 5496 5703 5954 6870 7604 8931 9160 9505 11406 11908 13740 14885 15208 17862 19010 22812 23816 24713 27480 28515 29770 35724 38020 44655 45624 49426 57030 59540 71448 74139 76040 89310 98852 114060 119080 123565 148278 178620 197704 228120 247130 296556 357240 370695 435329 494260 593112 741390 870658 988520 1305987 1482780 1741316 2176645 2611974 2965560 3482632 4353290 5223948 5659277 6529935 8706580 10447896 11318554 13059870 16977831 17413160 22637108 26119740 28296385 33955662 45274216 52239480 56592770 67911324 84889155 113185540 135822648 169778310 226371080 339556620 679113240