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76934080 = 2652310453
BaseRepresentation
bin1001001010111…
…10101111000000
312100202122201101
410211132233000
5124143342310
611344544144
71622633416
oct445365700
9170678641
1076934080
113a477793
1221922054
1312c28a32
14a3092b6
156b4a43a
hex495ebc0

76934080 has 56 divisors (see below), whose sum is σ = 191182752. Its totient is φ = 29432832.

The previous prime is 76934069. The next prime is 76934083. The reversal of 76934080 is 8043967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76934083) 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 7 ways as a sum of consecutive naturals, for example, 2134 + ... + 12586.

Almost surely, 276934080 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 76934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95591376).

76934080 is an abundant number, since it is smaller than the sum of its proper divisors (114248672).

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

76934080 is a wasteful number, since it uses less digits than its factorization.

76934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 76934080 is about 8771.2074425361. The cubic root of 76934080 is about 425.3106471611.

It can be divided in two parts, 769340 and 80, that added together give a triangular number (769420 = T1240).

The spelling of 76934080 in words is "seventy-six million, nine hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 10453 20906 41812 52265 83624 104530 167248 209060 240419 334496 418120 480838 668992 836240 961676 1202095 1672480 1923352 2404190 3344960 3846704 4808380 7693408 9616760 15386816 19233520 38467040 76934080