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681332736 = 21237892
BaseRepresentation
bin101000100111000…
…101000000000000
31202111001021210210
4220213011000000
52343410121421
6151335154120
722612142550
oct5047050000
91674037723
10681332736
1131a65a407
12170215940
13ab204786
14666b9160
153ec36576
hex289c5000

681332736 has 156 divisors (see below), whose sum is σ = 2099779232. Its totient is φ = 192479232.

The previous prime is 681332719. The next prime is 681332741. The reversal of 681332736 is 637233186.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 681332694 and 681332703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7655380 + ... + 7655468.

Almost surely, 2681332736 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 681332736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049889616).

681332736 is an abundant number, since it is smaller than the sum of its proper divisors (1418446496).

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

681332736 is an frugal number, since it uses more digits than its factorization.

681332736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 101 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 681332736 is about 26102.3511584685. The cubic root of 681332736 is about 879.9400510126.

Multiplying 681332736 by its product of digits (108864), we get a square (74172606971904 = 86123522).

The spelling of 681332736 in words is "six hundred eighty-one million, three hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 256 267 336 356 384 448 512 534 623 672 712 768 896 1024 1068 1246 1344 1424 1536 1792 1869 2048 2136 2492 2688 2848 3072 3584 3738 4096 4272 4984 5376 5696 6144 7168 7476 7921 8544 9968 10752 11392 12288 14336 14952 15842 17088 19936 21504 22784 23763 28672 29904 31684 34176 39872 43008 45568 47526 55447 59808 63368 68352 79744 86016 91136 95052 110894 119616 126736 136704 159488 166341 182272 190104 221788 239232 253472 273408 318976 332682 364544 380208 443576 478464 506944 546816 637952 665364 760416 887152 956928 1013888 1093632 1275904 1330728 1520832 1774304 1913856 2027776 2551808 2661456 3041664 3548608 3827712 4055552 5322912 6083328 7097216 7655424 8111104 10645824 12166656 14194432 16222208 21291648 24333312 28388864 32444416 42583296 48666624 56777728 85166592 97333248 113555456 170333184 227110912 340666368 681332736