Search a number
-
+
914746980 = 223576732507
BaseRepresentation
bin110110100001011…
…110111001100100
32100202020221221210
4312201132321210
53333133400410
6230434111420
731445135550
oct6641367144
92322227853
10914746980
1142a394a44
1221641b570
1311768ab04
14896b8860
1555491220
hex3685ee64

914746980 has 96 divisors (see below), whose sum is σ = 2970971136. Its totient is φ = 205958016.

The previous prime is 914746979. The next prime is 914746997. The reversal of 914746980 is 89647419.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11887 + ... + 44393.

It is an arithmetic number, because the mean of its divisors is an integer number (30947616).

Almost surely, 2914746980 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 914746980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485485568).

914746980 is an abundant number, since it is smaller than the sum of its proper divisors (2056224156).

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

914746980 is a wasteful number, since it uses less digits than its factorization.

914746980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32593 (or 32591 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 914746980 is about 30244.7843437509. The cubic root of 914746980 is about 970.7341945630.

The spelling of 914746980 in words is "nine hundred fourteen million, seven hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1340 1407 1876 2010 2345 2814 4020 4690 5628 7035 9380 14070 28140 32507 65014 97521 130028 162535 195042 227549 325070 390084 455098 487605 650140 682647 910196 975210 1137745 1365294 1950420 2177969 2275490 2730588 3413235 4355938 4550980 6533907 6826470 8711876 10889845 13067814 13652940 15245783 21779690 26135628 30491566 32669535 43559380 45737349 60983132 65339070 76228915 91474698 130678140 152457830 182949396 228686745 304915660 457373490 914746980