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79966980 = 223351731281
BaseRepresentation
bin1001100010000…
…11001100000100
312120110202002000
410301003030010
5130432420410
611533545300
71660464612
oct461031404
9176422060
1079966980
1141159415
1222945230
131374b352
14a8986b2
157048dc0
hex4c43304

79966980 has 192 divisors, whose sum is σ = 272885760. Its totient is φ = 19353600.

The previous prime is 79966973. The next prime is 79966987. The reversal of 79966980 is 8966997.

It is an interprime number because it is at equal distance from previous prime (79966973) and next prime (79966987).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79966987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284440 + ... + 284720.

It is an arithmetic number, because the mean of its divisors is an integer number (1421280).

Almost surely, 279966980 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 79966980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880).

79966980 is an abundant number, since it is smaller than the sum of its proper divisors (192918780).

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

79966980 is a wasteful number, since it uses less digits than its factorization.

79966980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 79966980 is about 8942.4258453733. The cubic root of 79966980 is about 430.8276469870.

The spelling of 79966980 in words is "seventy-nine million, nine hundred sixty-six thousand, nine hundred eighty".