Search a number
-
+
7361664 = 273191009
BaseRepresentation
bin11100000101010010000000
3111212000022020
4130011102000
53341033124
6421441440
7116400402
oct34052200
914760266
107361664
114178a22
122570280
1316a9a1b
14d98b72
159a6379
hex705480

7361664 has 64 divisors (see below), whose sum is σ = 20604000. Its totient is φ = 2322432.

The previous prime is 7361659. The next prime is 7361671. The reversal of 7361664 is 4661637.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6792 + ... + 7800.

Almost surely, 27361664 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 7361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302000).

7361664 is an abundant number, since it is smaller than the sum of its proper divisors (13242336).

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

7361664 is a wasteful number, since it uses less digits than its factorization.

7361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 7361664 is about 2713.2386551868. The cubic root of 7361664 is about 194.5324234490.

The spelling of 7361664 in words is "seven million, three hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1009 1216 1824 2018 2432 3027 3648 4036 6054 7296 8072 12108 16144 19171 24216 32288 38342 48432 57513 64576 76684 96864 115026 129152 153368 193728 230052 306736 387456 460104 613472 920208 1226944 1840416 2453888 3680832 7361664