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970133736 = 2331113674219
BaseRepresentation
bin111001110100110…
…001000011101000
32111121110220022010
4321310301003220
53441323234421
6240133155520
733020000145
oct7164610350
92447426263
10970133736
11458684920
12230a8bba0
13125cb1040
1492bb53cc
155a282076
hex39d310e8

970133736 has 128 divisors (see below), whose sum is σ = 2892556800. Its totient is φ = 267252480.

The previous prime is 970133699. The next prime is 970133753. The reversal of 970133736 is 637331079.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 970133694 and 970133703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227835 + ... + 232053.

It is an arithmetic number, because the mean of its divisors is an integer number (22598100).

Almost surely, 2970133736 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 970133736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446278400).

970133736 is an abundant number, since it is smaller than the sum of its proper divisors (1922423064).

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

970133736 is a wasteful number, since it uses less digits than its factorization.

970133736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 39.

The square root of 970133736 is about 31146.9699328843. The cubic root of 970133736 is about 989.9437902991.

The spelling of 970133736 in words is "nine hundred seventy million, one hundred thirty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 67 78 88 104 132 134 143 156 201 264 268 286 312 402 429 536 572 737 804 858 871 1144 1474 1608 1716 1742 2211 2613 2948 3432 3484 4219 4422 5226 5896 6968 8438 8844 9581 10452 12657 16876 17688 19162 20904 25314 28743 33752 38324 46409 50628 54847 57486 76648 92818 101256 109694 114972 139227 164541 185636 219388 229944 278454 282673 329082 371272 438776 556908 565346 603317 658164 848019 1113816 1130692 1206634 1316328 1696038 1809951 2261384 2413268 3109403 3392076 3619902 3674749 4826536 6218806 6784152 7239804 7349498 9328209 11024247 12437612 14479608 14698996 18656418 22048494 24875224 29397992 37312836 40422239 44096988 74625672 80844478 88193976 121266717 161688956 242533434 323377912 485066868 970133736