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76232280 = 23351374637
BaseRepresentation
bin1001000101100…
…11011001011000
312022110000000210
410202303121120
5124003413110
611321531120
71613651355
oct442633130
9168400023
1076232280
113a038493
1221643aa0
1312a41477
14a1a562c
156a5c520
hex48b3658

76232280 has 64 divisors (see below), whose sum is σ = 230415840. Its totient is φ = 20175872.

The previous prime is 76232269. The next prime is 76232287. The reversal of 76232280 is 8223267.

It is a super-2 number, since 2×762322802 = 11622721027996800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76232287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14122 + ... + 18758.

Almost surely, 276232280 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 76232280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115207920).

76232280 is an abundant number, since it is smaller than the sum of its proper divisors (154183560).

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

76232280 is a wasteful number, since it uses less digits than its factorization.

76232280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 76232280 is about 8731.1098950821. The cubic root of 76232280 is about 424.0134533526.

The spelling of 76232280 in words is "seventy-six million, two hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 4637 5480 8220 9274 13911 16440 18548 23185 27822 37096 46370 55644 69555 92740 111288 139110 185480 278220 556440 635269 1270538 1905807 2541076 3176345 3811614 5082152 6352690 7623228 9529035 12705380 15246456 19058070 25410760 38116140 76232280