Search a number
-
+
7974096 = 243132983
BaseRepresentation
bin11110011010110011010000
3120000010101220
4132122303100
54020132341
6442525040
7124531044
oct36326320
916003356
107974096
114557069
122806780
131862700
1410b8024
15a77a66
hex79acd0

7974096 has 60 divisors (see below), whose sum is σ = 22328928. Its totient is φ = 2451072.

The previous prime is 7974073. The next prime is 7974107. The reversal of 7974096 is 6904797.

7974096 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7621 + ... + 8603.

Almost surely, 27974096 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 7974096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164464).

7974096 is an abundant number, since it is smaller than the sum of its proper divisors (14354832).

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

7974096 is a wasteful number, since it uses less digits than its factorization.

7974096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 7974096 is about 2823.8441883362. The cubic root of 7974096 is about 199.7838999212.

The spelling of 7974096 in words is "seven million, nine hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 983 1014 1352 1966 2028 2704 2949 3932 4056 5898 7864 8112 11796 12779 15728 23592 25558 38337 47184 51116 76674 102232 153348 166127 204464 306696 332254 498381 613392 664508 996762 1329016 1993524 2658032 3987048 7974096