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7664980 = 2251923877
BaseRepresentation
bin11101001111010101010100
3112102102101011
4131033111110
53430234410
6432142004
7122102611
oct35172524
915372334
107664980
1143658a4
122697904
131784abb
141037508
15a1618a
hex74f554

7664980 has 48 divisors (see below), whose sum is σ = 17700480. Its totient is φ = 2775168.

The previous prime is 7664971. The next prime is 7664983. The reversal of 7664980 is 894667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7664983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8302 + ... + 9178.

It is an arithmetic number, because the mean of its divisors is an integer number (368760).

Almost surely, 27664980 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 7664980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850240).

7664980 is an abundant number, since it is smaller than the sum of its proper divisors (10035500).

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

7664980 is a wasteful number, since it uses less digits than its factorization.

7664980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 7664980 is about 2768.5700280109. The cubic root of 7664980 is about 197.1682621964.

It can be divided in two parts, 76649 and 80, that added together give a square (76729 = 2772).

The spelling of 7664980 in words is "seven million, six hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 877 1748 1754 2185 3508 4370 4385 8740 8770 16663 17540 20171 33326 40342 66652 80684 83315 100855 166630 201710 333260 383249 403420 766498 1532996 1916245 3832490 7664980