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990254460 = 22351310331229
BaseRepresentation
bin111011000001100…
…001010101111100
32120000100010202010
4323001201111330
54012001120320
6242132331220
733353011146
oct7301412574
92500303663
10990254460
11468a77918
12237773b10
1312a2073b0
1495731c96
155be08ae0
hex3b06157c

990254460 has 96 divisors (see below), whose sum is σ = 2991320640. Its totient is φ = 243320832.

The previous prime is 990254459. The next prime is 990254497. The reversal of 990254460 is 64452099.

990254460 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805126 + ... + 806354.

It is an arithmetic number, because the mean of its divisors is an integer number (31159590).

Almost surely, 2990254460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990254460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495660320).

990254460 is an abundant number, since it is smaller than the sum of its proper divisors (2001066180).

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

990254460 is a wasteful number, since it uses less digits than its factorization.

990254460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 990254460 is about 31468.3088201448. The cubic root of 990254460 is about 996.7408763188.

The spelling of 990254460 in words is "nine hundred ninety million, two hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1033 1229 2066 2458 3099 3687 4132 4916 5165 6145 6198 7374 10330 12290 12396 13429 14748 15495 15977 18435 20660 24580 26858 30990 31954 36870 40287 47931 53716 61980 63908 67145 73740 79885 80574 95862 134290 159770 161148 191724 201435 239655 268580 319540 402870 479310 805740 958620 1269557 2539114 3808671 5078228 6347785 7617342 12695570 15234684 16504241 19043355 25391140 33008482 38086710 49512723 66016964 76173420 82521205 99025446 165042410 198050892 247563615 330084820 495127230 990254460