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96702240 = 2535296947
BaseRepresentation
bin1011100001110…
…00111100100000
320201221222112110
411300320330200
5144223432430
613332355320
72252645505
oct560707440
9221858473
1096702240
114a649908
1228475b40
131705a77b
14cbb34ac
1587527b0
hex5c38f20

96702240 has 96 divisors (see below), whose sum is σ = 315161280. Its totient is φ = 24894464.

The previous prime is 96702233. The next prime is 96702247. The reversal of 96702240 is 4220769.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96702233) and next prime (96702247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 96702198 and 96702207.

It is not an unprimeable number, because it can be changed into a prime (96702247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10447 + ... + 17393.

It is an arithmetic number, because the mean of its divisors is an integer number (3282930).

Almost surely, 296702240 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 96702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157580640).

96702240 is an abundant number, since it is smaller than the sum of its proper divisors (218459040).

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

96702240 is a wasteful number, since it uses less digits than its factorization.

96702240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 96702240 is about 9833.7297095253. The cubic root of 96702240 is about 458.9994636435. Note that the first 3 decimals are identical.

The spelling of 96702240 in words is "ninety-six million, seven hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6947 6960 13894 13920 20841 27788 34735 41682 55576 69470 83364 104205 111152 138940 166728 201463 208410 222304 277880 333456 402926 416820 555760 604389 666912 805852 833640 1007315 1111520 1208778 1611704 1667280 2014630 2417556 3021945 3223408 3334560 4029260 4835112 6043890 6446816 8058520 9670224 12087780 16117040 19340448 24175560 32234080 48351120 96702240