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14978916 = 22321961359
BaseRepresentation
bin111001001000…
…111101100100
31001012000012200
4321020331210
512313311131
61253014500
7241214211
oct71107544
931160180
1014978916
118500977
125024430
133145b84
141dbcb08
1514ad2e6
hexe48f64

14978916 has 72 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4639680.

The previous prime is 14978893. The next prime is 14978959. The reversal of 14978916 is 61987941.

It is a happy number.

14978916 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41545 + ... + 41903.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 214978916 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 14978916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

14978916 is an abundant number, since it is smaller than the sum of its proper divisors (25643484).

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

14978916 is a wasteful number, since it uses less digits than its factorization.

14978916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 14978916 is about 3870.2604563517. The cubic root of 14978916 is about 246.5056029952.

The spelling of 14978916 in words is "fourteen million, nine hundred seventy-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 359 366 549 684 718 732 1077 1098 1159 1436 2154 2196 2318 3231 3477 4308 4636 6462 6821 6954 10431 12924 13642 13908 20463 20862 21899 27284 40926 41724 43798 61389 65697 81852 87596 122778 131394 197091 245556 262788 394182 416081 788364 832162 1248243 1664324 2496486 3744729 4992972 7489458 14978916