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990370400 = 25521237963
BaseRepresentation
bin111011000001111…
…101101001100000
32120000120000210012
4323001331221200
54012013323100
6242135024052
733354003155
oct7301755140
92500500705
10990370400
11469046a38
1223780b028
1312a2480b6
149576222c
155be2d135
hex3b07da60

990370400 has 36 divisors (see below), whose sum is σ = 2417743692. Its totient is φ = 396147840.

The previous prime is 990370399. The next prime is 990370477. The reversal of 990370400 is 4073099.

It is a happy number.

990370400 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 618182 + ... + 619781.

It is an arithmetic number, because the mean of its divisors is an integer number (67159547).

Almost surely, 2990370400 is an apocalyptic number.

It is an amenable number.

990370400 is an abundant number, since it is smaller than the sum of its proper divisors (1427373292).

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

990370400 is a wasteful number, since it uses less digits than its factorization.

990370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237983 (or 1237970 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 990370400 is about 31470.1509370387. The cubic root of 990370400 is about 996.7797746129.

The spelling of 990370400 in words is "nine hundred ninety million, three hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1237963 2475926 4951852 6189815 9903704 12379630 19807408 24759260 30949075 39614816 49518520 61898150 99037040 123796300 198074080 247592600 495185200 990370400