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7660968 = 2337311471
BaseRepresentation
bin11101001110010110101000
3112102012212120
4131032112220
53430122333
6432111240
7122055120
oct35162650
915365776
107660968
114362887
122695520
131783023
141035c80
15a14db3
hex74e5a8

7660968 has 64 divisors (see below), whose sum is σ = 22609920. Its totient is φ = 2116800.

The previous prime is 7660957. The next prime is 7660969. The reversal of 7660968 is 8690667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7660969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4473 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (353280).

Almost surely, 27660968 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 7660968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304960).

7660968 is an abundant number, since it is smaller than the sum of its proper divisors (14948952).

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

7660968 is a wasteful number, since it uses less digits than its factorization.

7660968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 7660968 is about 2767.8453714035. The cubic root of 7660968 is about 197.1338556216.

The spelling of 7660968 in words is "seven million, six hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1471 1736 2604 2942 4413 5208 5884 8826 10297 11768 17652 20594 30891 35304 41188 45601 61782 82376 91202 123564 136803 182404 247128 273606 319207 364808 547212 638414 957621 1094424 1276828 1915242 2553656 3830484 7660968