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979540380 = 2232572138543
BaseRepresentation
bin111010011000101…
…001100110011100
32112021011210210100
4322120221212130
54001230243010
6241110541100
733162645600
oct7230514634
92467153710
10979540380
11462a1a205
12234067790
13127c257c0
1494143500
155aede2c0
hex3a62999c

979540380 has 216 divisors, whose sum is σ = 3722689152. Its totient is φ = 206648064.

The previous prime is 979540369. The next prime is 979540411. The reversal of 979540380 is 83045979.

979540380 is a `hidden beast` number, since 9 + 79 + 540 + 38 + 0 = 666.

979540380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110389 + ... + 118931.

It is an arithmetic number, because the mean of its divisors is an integer number (17234672).

Almost surely, 2979540380 is an apocalyptic number.

979540380 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 979540380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861344576).

979540380 is an abundant number, since it is smaller than the sum of its proper divisors (2743148772).

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

979540380 is a wasteful number, since it uses less digits than its factorization.

979540380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 979540380 is about 31297.6098128915. The cubic root of 979540380 is about 993.1330800121.

The spelling of 979540380 in words is "nine hundred seventy-nine million, five hundred forty thousand, three hundred eighty".