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705131328 = 263111372437
BaseRepresentation
bin101010000001110…
…111001101000000
31211010211101100010
4222001313031000
52421003200303
6153545224520
723321342316
oct5201671500
91733741303
10705131328
11332034670
12178192140
13b3117b95
14699120b6
1541d87c03
hex2a077340

705131328 has 112 divisors (see below), whose sum is σ = 2050962624. Its totient is φ = 212029440.

The previous prime is 705131261. The next prime is 705131333. The reversal of 705131328 is 823131507.

It is a junction number, because it is equal to n+sod(n) for n = 705131295 and 705131304.

It is a congruent number.

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, 288126 + ... + 290562.

Almost surely, 2705131328 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 705131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025481312).

705131328 is an abundant number, since it is smaller than the sum of its proper divisors (1345831296).

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

705131328 is a wasteful number, since it uses less digits than its factorization.

705131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 705131328 is about 26554.3090288563. The cubic root of 705131328 is about 890.0683059977.

The spelling of 705131328 in words is "seven hundred five million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 137 176 192 264 274 352 411 528 548 704 822 1056 1096 1507 1644 2112 2192 2437 3014 3288 4384 4521 4874 6028 6576 7311 8768 9042 9748 12056 13152 14622 18084 19496 24112 26304 26807 29244 36168 38992 48224 53614 58488 72336 77984 80421 96448 107228 116976 144672 155968 160842 214456 233952 289344 321684 333869 428912 467904 643368 667738 857824 1001607 1286736 1335476 1715648 2003214 2573472 2670952 3672559 4006428 5146944 5341904 7345118 8012856 10683808 11017677 14690236 16025712 21367616 22035354 29380472 32051424 44070708 58760944 64102848 88141416 117521888 176282832 235043776 352565664 705131328