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76904130 = 2353779877
BaseRepresentation
bin1001001010101…
…11011011000010
312100201010122010
410211113123002
5124141413010
611344153350
71622450202
oct445273302
9170633563
1076904130
113a457236
1221908856
1312c18204
14a2dc402
156b41620
hex49576c2

76904130 has 64 divisors (see below), whose sum is σ = 192176640. Its totient is φ = 19678464.

The previous prime is 76904129. The next prime is 76904137. The reversal of 76904130 is 3140967.

It is a happy number.

It is a super-2 number, since 2×769041302 = 11828490422113800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (76904137) 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 31 ways as a sum of consecutive naturals, for example, 87252 + ... + 88128.

It is an arithmetic number, because the mean of its divisors is an integer number (3002760).

Almost surely, 276904130 is an apocalyptic number.

It is a pronic number, being equal to 8769×8770.

It is a practical number, because each smaller number is the sum of distinct divisors of 76904130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96088320).

76904130 is an abundant number, since it is smaller than the sum of its proper divisors (115272510).

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

76904130 is a wasteful number, since it uses less digits than its factorization.

76904130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 76904130 is about 8769.4999857461. The cubic root of 76904130 is about 425.2554496587.

The spelling of 76904130 in words is "seventy-six million, nine hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 79 111 158 185 222 237 370 395 474 555 790 877 1110 1185 1754 2370 2631 2923 4385 5262 5846 8769 8770 13155 14615 17538 26310 29230 32449 43845 64898 69283 87690 97347 138566 162245 194694 207849 324490 346415 415698 486735 692830 973470 1039245 2078490 2563471 5126942 7690413 12817355 15380826 25634710 38452065 76904130