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766769940 = 223254259833
BaseRepresentation
bin101101101100111…
…111101100010100
31222102210221121200
4231230333230110
53032243114230
6204030312500
725000302606
oct5554775424
91872727550
10766769940
11363904672
12194958730
13c2b19931
1473b99176
15474b1160
hex2db3fb14

766769940 has 36 divisors (see below), whose sum is σ = 2325869364. Its totient is φ = 204471936.

The previous prime is 766769917. The next prime is 766769953. The reversal of 766769940 is 49967667.

It can be written as a sum of positive squares in 2 ways, for example, as 330294276 + 436475664 = 18174^2 + 20892^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7667699402 = 1175872281775207200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2129737 + ... + 2130096.

Almost surely, 2766769940 is an apocalyptic number.

It is an amenable number.

766769940 is an abundant number, since it is smaller than the sum of its proper divisors (1559099424).

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

766769940 is a wasteful number, since it uses less digits than its factorization.

766769940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259848 (or 4259843 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 766769940 is about 27690.6110441789. The cubic root of 766769940 is about 915.2822205670.

The spelling of 766769940 in words is "seven hundred sixty-six million, seven hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4259833 8519666 12779499 17039332 21299165 25558998 38338497 42598330 51117996 63897495 76676994 85196660 127794990 153353988 191692485 255589980 383384970 766769940