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80314920 = 233257229157
BaseRepresentation
bin1001100100110…
…00001000101000
312121010102100200
410302120020220
5131030034140
611545232200
71663444200
oct462301050
9177112320
1080314920
1141376874
1222a92660
131384082a
14a949400
1570b7030
hex4c98228

80314920 has 288 divisors, whose sum is σ = 316110600. Its totient is φ = 17611776.

The previous prime is 80314909. The next prime is 80314931. The reversal of 80314920 is 2941308.

80314920 = T1 + T2 + ... + T783.

80314920 is a nontrivial binomial coefficient, being equal to C(785, 3).

It is an interprime number because it is at equal distance from previous prime (80314909) and next prime (80314931).

It can be written as a sum of positive squares in 4 ways, for example, as 57790404 + 22524516 = 7602^2 + 4746^2 .

It is an unprimeable number.

It is the 783-rd tetrahedral number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 511482 + ... + 511638.

Almost surely, 280314920 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 80314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158055300).

80314920 is an abundant number, since it is smaller than the sum of its proper divisors (235795680).

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

80314920 is a wasteful number, since it uses less digits than its factorization.

80314920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80314920 is about 8961.8591821117. The cubic root of 80314920 is about 431.4515932087.

The spelling of 80314920 in words is "eighty million, three hundred fourteen thousand, nine hundred twenty".