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990955260 = 2232519833491
BaseRepresentation
bin111011000100001…
…100011011111100
32120001122202001200
4323010030123330
54012141032020
6242155335500
733361660251
oct7304143374
92501582050
10990955260
11469406399
12237a51590
1312a3c1379
1495875428
155bee6590
hex3b10c6fc

990955260 has 144 divisors (see below), whose sum is σ = 3203141760. Its totient is φ = 247259520.

The previous prime is 990955247. The next prime is 990955261. The reversal of 990955260 is 62559099.

990955260 is a `hidden beast` number, since 9 + 90 + 9 + 552 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990955261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282115 + ... + 285605.

It is an arithmetic number, because the mean of its divisors is an integer number (22244040).

Almost surely, 2990955260 is an apocalyptic number.

990955260 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 990955260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601570880).

990955260 is an abundant number, since it is smaller than the sum of its proper divisors (2212186500).

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

990955260 is a wasteful number, since it uses less digits than its factorization.

990955260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 990955260 is about 31479.4418629047. The cubic root of 990955260 is about 996.9759510126.

The spelling of 990955260 in words is "nine hundred ninety million, nine hundred fifty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 83 90 95 114 166 171 180 190 228 249 285 332 342 380 415 498 570 684 747 830 855 996 1140 1245 1494 1577 1660 1710 2490 2988 3154 3420 3491 3735 4731 4980 6308 6982 7470 7885 9462 10473 13964 14193 14940 15770 17455 18924 20946 23655 28386 31419 31540 34910 41892 47310 52365 56772 62838 66329 69820 70965 94620 104730 125676 132658 141930 157095 198987 209460 265316 283860 289753 314190 331645 397974 579506 596961 628380 663290 795948 869259 994935 1159012 1193922 1326580 1448765 1738518 1989870 2387844 2607777 2897530 2984805 3477036 3979740 4346295 5215554 5505307 5795060 5969610 8692590 10431108 11010614 11939220 13038885 16515921 17385180 22021228 26077770 27526535 33031842 49547763 52155540 55053070 66063684 82579605 99095526 110106140 165159210 198191052 247738815 330318420 495477630 990955260