Search a number
-
+
68702928 = 2437732801
BaseRepresentation
bin1000001100001…
…01001011010000
311210021110200220
410012011023100
5120041443203
610452313040
71462652040
oct406051320
9153243626
1068702928
1135865588
121b012780
1311306328
1491a5720
156071653
hex41852d0

68702928 has 80 divisors (see below), whose sum is σ = 205689216. Its totient is φ = 19353600.

The previous prime is 68702911. The next prime is 68702947. The reversal of 68702928 is 82920786.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68702928.

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, 23128 + ... + 25928.

Almost surely, 268702928 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 68702928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102844608).

68702928 is an abundant number, since it is smaller than the sum of its proper divisors (136986288).

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

68702928 is a wasteful number, since it uses less digits than its factorization.

68702928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 68702928 is about 8288.7229414428. The cubic root of 68702928 is about 409.5671179760.

The spelling of 68702928 in words is "sixty-eight million, seven hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 2801 3066 3504 4088 5602 6132 8176 8403 11204 12264 16806 19607 22408 24528 33612 39214 44816 58821 67224 78428 117642 134448 156856 204473 235284 313712 408946 470568 613419 817892 941136 1226838 1431311 1635784 2453676 2862622 3271568 4293933 4907352 5725244 8587866 9814704 11450488 17175732 22900976 34351464 68702928