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76905036 = 2232131011627
BaseRepresentation
bin1001001010101…
…11101001001100
312100201011212200
410211113221030
5124141430121
611344201500
71622452635
oct445275114
9170634780
1076905036
113a45798a
1221909290
1312c18750
14a2dc88c
156b41a26
hex4957a4c

76905036 has 72 divisors (see below), whose sum is σ = 211555344. Its totient is φ = 23414400.

The previous prime is 76905029. The next prime is 76905041. The reversal of 76905036 is 63050967.

It is a happy number.

It is a super-2 number, since 2×769050362 = 11828769124322592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46455 + ... + 48081.

Almost surely, 276905036 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 76905036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105777672).

76905036 is an abundant number, since it is smaller than the sum of its proper divisors (134650308).

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

76905036 is a wasteful number, since it uses less digits than its factorization.

76905036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 76905036 is about 8769.5516419028. The cubic root of 76905036 is about 425.2571196164.

The spelling of 76905036 in words is "seventy-six million, nine hundred five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1627 1818 2626 3254 3636 3939 4881 5252 6508 7878 9762 11817 14643 15756 19524 21151 23634 29286 42302 47268 58572 63453 84604 126906 164327 190359 253812 328654 380718 492981 657308 761436 985962 1478943 1971924 2136251 2957886 4272502 5915772 6408753 8545004 12817506 19226259 25635012 38452518 76905036