Search a number
-
+
70069968 = 2433612659
BaseRepresentation
bin1000010110100…
…10111011010000
311212211220221000
410023102323100
5120414214333
610541502000
71510404423
oct413227320
9155756830
1070069968
1136609671
121b571900
1311694627
14943d9ba
156241713
hex42d2ed0

70069968 has 80 divisors (see below), whose sum is σ = 204500800. Its totient is φ = 22965120.

The previous prime is 70069963. The next prime is 70069969. The reversal of 70069968 is 86996007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70069963) 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, 25023 + ... + 27681.

It is an arithmetic number, because the mean of its divisors is an integer number (2556260).

Almost surely, 270069968 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 70069968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102250400).

70069968 is an abundant number, since it is smaller than the sum of its proper divisors (134430832).

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

70069968 is a wasteful number, since it uses less digits than its factorization.

70069968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 70069968 is about 8370.7806087605. The cubic root of 70069968 is about 412.2657976322.

The spelling of 70069968 in words is "seventy million, sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2659 2928 3294 4392 5318 6588 7977 8784 10636 13176 15954 21272 23931 26352 31908 42544 47862 63816 71793 95724 127632 143586 162199 191448 287172 324398 382896 486597 574344 648796 973194 1148688 1297592 1459791 1946388 2595184 2919582 3892776 4379373 5839164 7785552 8758746 11678328 17517492 23356656 35034984 70069968