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76683906 = 232131737521
BaseRepresentation
bin1001001001000…
…01101010000010
312100021221112200
410210201222002
5124112341111
611335334030
71620542145
oct444415202
9170257480
1076683906
113a316832
1221821316
1312b6bbc0
14a28205c
156aeb256
hex4921a82

76683906 has 96 divisors (see below), whose sum is σ = 194948208. Its totient is φ = 21565440.

The previous prime is 76683883. The next prime is 76683907. The reversal of 76683906 is 60938667.

It can be written as a sum of positive squares in 8 ways, for example, as 43678881 + 33005025 = 6609^2 + 5745^2 .

It is not an unprimeable number, because it can be changed into a prime (76683907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146926 + ... + 147446.

Almost surely, 276683906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76683906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97474104).

76683906 is an abundant number, since it is smaller than the sum of its proper divisors (118264302).

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

76683906 is a wasteful number, since it uses less digits than its factorization.

76683906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76683906 is about 8756.9347376808. The cubic root of 76683906 is about 424.8491386122.

The spelling of 76683906 in words is "seventy-six million, six hundred eighty-three thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 37 39 51 74 78 102 111 117 153 221 222 234 306 333 442 481 521 629 663 666 962 1042 1258 1326 1443 1563 1887 1989 2886 3126 3774 3978 4329 4689 5661 6773 8177 8658 8857 9378 11322 13546 16354 17714 19277 20319 24531 26571 38554 40638 49062 53142 57831 60957 73593 79713 115141 115662 121914 147186 159426 173493 230282 250601 327709 345423 346986 501202 655418 690846 751803 983127 1036269 1503606 1966254 2072538 2255409 2949381 4260217 4510818 5898762 8520434 12780651 25561302 38341953 76683906