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952021980 = 22325721319223
BaseRepresentation
bin111000101111101…
…011001111011100
32110100101201122100
4320233223033130
53422204200410
6234245045100
732410024200
oct7057531734
92410351570
10952021980
11449434228
122269b6790
1312230c220
149061cb00
15588a58c0
hex38beb3dc

952021980 has 648 divisors, whose sum is σ = 3984113952. Its totient is φ = 182020608.

The previous prime is 952021979. The next prime is 952022041. The reversal of 952021980 is 89120259.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41392249 + ... + 41392271.

It is an arithmetic number, because the mean of its divisors is an integer number (6148324).

Almost surely, 2952021980 is an apocalyptic number.

952021980 is a gapful number since it is divisible by the number (90) 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 952021980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992056976).

952021980 is an abundant number, since it is smaller than the sum of its proper divisors (3032091972).

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

952021980 is a wasteful number, since it uses less digits than its factorization.

952021980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 952021980 is about 30854.8534269732. The cubic root of 952021980 is about 983.7445177502.

The spelling of 952021980 in words is "nine hundred fifty-two million, twenty-one thousand, nine hundred eighty".