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980379936 = 253417191171
BaseRepresentation
bin111010011011110…
…110100100100000
32112022202110110000
4322123312210200
54001434124221
6241140540000
733203043354
oct7233664440
92468673400
10980379936
11463442a58
122343b1600
1312815a993
14942c1464
155b107e26
hex3a6f6920

980379936 has 240 divisors, whose sum is σ = 3216296160. Its totient is φ = 291133440.

The previous prime is 980379923. The next prime is 980379937. The reversal of 980379936 is 639973089.

980379936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9803799362 = 1922289637822728192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980379937) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 836631 + ... + 837801.

It is an arithmetic number, because the mean of its divisors is an integer number (13401234).

Almost surely, 2980379936 is an apocalyptic number.

980379936 is a gapful number since it is divisible by the number (96) 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 980379936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608148080).

980379936 is an abundant number, since it is smaller than the sum of its proper divisors (2235916224).

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

980379936 is a wasteful number, since it uses less digits than its factorization.

980379936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 980379936 is about 31311.0194021210. The cubic root of 980379936 is about 993.4167343854.

The spelling of 980379936 in words is "nine hundred eighty million, three hundred seventy-nine thousand, nine hundred thirty-six".