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70387968 = 283713093
BaseRepresentation
bin1000011001000…
…00100100000000
311220110002010210
410030200210000
5121004403333
610552354120
71513200510
oct414404400
9156402123
1070387968
1136806582
121b6a5940
13117762b1
1494c3840
1562a5a63
hex4320900

70387968 has 72 divisors (see below), whose sum is σ = 214113088. Its totient is φ = 20109312.

The previous prime is 70387963. The next prime is 70387969. The reversal of 70387968 is 86978307.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (70387963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171 + ... + 11922.

Almost surely, 270387968 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 70387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107056544).

70387968 is an abundant number, since it is smaller than the sum of its proper divisors (143725120).

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

70387968 is a wasteful number, since it uses less digits than its factorization.

70387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13119 (or 13105 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 70387968 is about 8389.7537508559. The cubic root of 70387968 is about 412.8885213681. Note that the first 3 decimals are identical.

The spelling of 70387968 in words is "seventy million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 13093 26186 39279 52372 78558 91651 104744 157116 183302 209488 274953 314232 366604 418976 549906 628464 733208 837952 1099812 1256928 1466416 1675904 2199624 2513856 2932832 3351808 4399248 5027712 5865664 8798496 10055424 11731328 17596992 23462656 35193984 70387968