Search a number
-
+
70190688 = 25317411049
BaseRepresentation
bin1000010111100…
…00011001100000
311220002001112010
410023300121200
5120432100223
610544232520
71511416401
oct413603140
9156061463
1070190688
1136691337
121b60b740
1311707569
1494719a8
156267393
hex42f0660

70190688 has 96 divisors (see below), whose sum is σ = 200037600. Its totient is φ = 21463040.

The previous prime is 70190669. The next prime is 70190699. The reversal of 70190688 is 88609107.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66388 + ... + 67436.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 270190688 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 70190688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100018800).

70190688 is an abundant number, since it is smaller than the sum of its proper divisors (129846912).

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

70190688 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (70190687) it forms an eRAP, since the sums of their prime factors are consecutive (1119 and 1120).

With its predecessor (70190687) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1112).

70190688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 70190688 is about 8377.9883026894. The cubic root of 70190688 is about 412.5024190859.

The spelling of 70190688 in words is "seventy million, one hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 246 272 328 408 492 544 656 697 816 984 1049 1312 1394 1632 1968 2091 2098 2788 3147 3936 4182 4196 5576 6294 8364 8392 11152 12588 16728 16784 17833 22304 25176 33456 33568 35666 43009 50352 53499 66912 71332 86018 100704 106998 129027 142664 172036 213996 258054 285328 344072 427992 516108 570656 688144 731153 855984 1032216 1376288 1462306 1711968 2064432 2193459 2924612 4128864 4386918 5849224 8773836 11698448 17547672 23396896 35095344 70190688