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7696680 = 2335312069
BaseRepresentation
bin11101010111000100101000
3112111000212020
4131113010220
53432243210
6432544440
7122264205
oct35270450
915430766
107696680
1143876a2
1226b2120
131796364
141044cac
15a20770
hex757128

7696680 has 64 divisors (see below), whose sum is σ = 23846400. Its totient is φ = 1985280.

The previous prime is 7696679. The next prime is 7696681. The reversal of 7696680 is 866967.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7696679) and next prime (7696681).

It is not an unprimeable number, because it can be changed into a prime (7696681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2686 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (372600).

Almost surely, 27696680 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 7696680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923200).

7696680 is an abundant number, since it is smaller than the sum of its proper divisors (16149720).

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

7696680 is a wasteful number, since it uses less digits than its factorization.

7696680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2110 counting only the distinct ones).

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

The square root of 7696680 is about 2774.2890981295. The cubic root of 7696680 is about 197.4396974472.

The spelling of 7696680 in words is "seven million, six hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 2069 3720 4138 6207 8276 10345 12414 16552 20690 24828 31035 41380 49656 62070 64139 82760 124140 128278 192417 248280 256556 320695 384834 513112 641390 769668 962085 1282780 1539336 1924170 2565560 3848340 7696680