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880997040 = 243357115297
BaseRepresentation
bin110100100000101…
…111001010110000
32021101202021202000
4310200233022300
53301013401130
6223230454000
730555231330
oct6440571260
92241667660
10880997040
11412333130
12207064300
131106a2031
14850110c0
1552526260
hex3482f2b0

880997040 has 320 divisors, whose sum is σ = 3784043520. Its totient is φ = 183029760.

The previous prime is 880997023. The next prime is 880997041. The reversal of 880997040 is 40799088.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (880997041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 163672 + ... + 168968.

It is an arithmetic number, because the mean of its divisors is an integer number (11825136).

Almost surely, 2880997040 is an apocalyptic number.

880997040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892021760).

880997040 is an abundant number, since it is smaller than the sum of its proper divisors (2903046480).

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

880997040 is a wasteful number, since it uses less digits than its factorization.

880997040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 880997040 is about 29681.5942968029. The cubic root of 880997040 is about 958.6457467297.

The spelling of 880997040 in words is "eight hundred eighty million, nine hundred ninety-seven thousand, forty".