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772140 = 223517757
BaseRepresentation
bin10111100100000101100
31110020011210
42330200230
5144202030
624314420
76364065
oct2744054
91406153
10772140
11488136
12312a10
132105b5
1416156c
15103bb0
hexbc82c

772140 has 48 divisors (see below), whose sum is σ = 2292192. Its totient is φ = 193536.

The previous prime is 772139. The next prime is 772147. The reversal of 772140 is 41277.

It is not an unprimeable number, because it can be changed into a prime (772147) 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, 642 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (47754).

2772140 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 772140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146096).

772140 is an abundant number, since it is smaller than the sum of its proper divisors (1520052).

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

772140 is a wasteful number, since it uses less digits than its factorization.

772140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 772140 is about 878.7149708523. The cubic root of 772140 is about 91.7413972784.

The spelling of 772140 in words is "seven hundred seventy-two thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 757 1020 1514 2271 3028 3785 4542 7570 9084 11355 12869 15140 22710 25738 38607 45420 51476 64345 77214 128690 154428 193035 257380 386070 772140