Search a number
-
+
70937664 = 2637471123
BaseRepresentation
bin1000011101001…
…10110001000000
311221111000011220
410032212301000
5121130001124
611012235040
71520650230
oct416466100
9157430156
1070937664
1137051576
121b90ba80
1311909565
1495c7cc0
156363879
hex43a6c40

70937664 has 112 divisors (see below), whose sum is σ = 219260928. Its totient is φ = 19819008.

The previous prime is 70937663. The next prime is 70937687. The reversal of 70937664 is 46673907.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (70937663) 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, 62607 + ... + 63729.

Almost surely, 270937664 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 70937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109630464).

70937664 is an abundant number, since it is smaller than the sum of its proper divisors (148323264).

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

70937664 is a wasteful number, since it uses less digits than its factorization.

70937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 70937664 is about 8422.4499998516. The cubic root of 70937664 is about 413.9605554149.

The spelling of 70937664 in words is "seventy million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1123 1128 1316 1344 1504 1974 2246 2256 2632 3008 3369 3948 4492 4512 5264 6738 7861 7896 8984 9024 10528 13476 15722 15792 17968 21056 23583 26952 31444 31584 35936 47166 52781 53904 62888 63168 71872 94332 105562 107808 125776 158343 188664 211124 215616 251552 316686 369467 377328 422248 503104 633372 738934 754656 844496 1108401 1266744 1477868 1509312 1688992 2216802 2533488 2955736 3377984 4433604 5066976 5911472 8867208 10133952 11822944 17734416 23645888 35468832 70937664