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696731040 = 253254111801
BaseRepresentation
bin101001100001110…
…100010110100000
31210120000121022100
4221201310112200
52411330343130
6153045210400
723160054555
oct5141642640
91716017270
10696731040
11328317385
12175400a00
13b14664b5
1468766a2c
1541278c60
hex298745a0

696731040 has 144 divisors (see below), whose sum is σ = 2435791176. Its totient is φ = 181248000.

The previous prime is 696731029. The next prime is 696731047. The reversal of 696731040 is 40137696.

It can be written as a sum of positive squares in 4 ways, for example, as 386830224 + 309900816 = 19668^2 + 17604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 696730986 and 696731004.

It is not an unprimeable number, because it can be changed into a prime (696731047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53140 + ... + 64940.

Almost surely, 2696731040 is an apocalyptic number.

696731040 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 696731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217895588).

696731040 is an abundant number, since it is smaller than the sum of its proper divisors (1739060136).

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

696731040 is a wasteful number, since it uses less digits than its factorization.

696731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863 (or 11852 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 696731040 is about 26395.6632801678. The cubic root of 696731040 is about 886.5196909668.

The spelling of 696731040 in words is "six hundred ninety-six million, seven hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11801 11808 14760 19680 23602 29520 35403 47204 59005 59040 70806 94408 106209 118010 141612 177015 188816 212418 236020 283224 354030 377632 424836 472040 483841 531045 566448 708060 849672 944080 967682 1062090 1132896 1416120 1451523 1699344 1888160 1935364 2124180 2419205 2832240 2903046 3398688 3870728 4248360 4354569 4838410 5664480 5806092 7257615 7741456 8496720 8709138 9676820 11612184 14515230 15482912 16993440 17418276 19353640 21772845 23224368 29030460 34836552 38707280 43545690 46448736 58060920 69673104 77414560 87091380 116121840 139346208 174182760 232243680 348365520 696731040