Search a number
-
+
3123154980 = 22325111639677
BaseRepresentation
bin1011101000100111…
…1001000000100100
322001122202201012200
42322021321000210
522344011424410
61233524014500
7140252244051
oct27211710044
98048681180
103123154980
111362a37620
12731b31430
133aa0744ca
14218b04028
151342be3c0
hexba279024

3123154980 has 144 divisors (see below), whose sum is σ = 10399281984. Its totient is φ = 752405760.

The previous prime is 3123154967. The next prime is 3123155011. The reversal of 3123154980 is 894513213.

3123154980 is a `hidden beast` number, since 3 + 1 + 2 + 31 + 549 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317902 + ... + 327578.

It is an arithmetic number, because the mean of its divisors is an integer number (72217236).

Almost surely, 23123154980 is an apocalyptic number.

3123154980 is a gapful number since it is divisible by the number (30) 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 3123154980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199640992).

3123154980 is an abundant number, since it is smaller than the sum of its proper divisors (7276127004).

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

3123154980 is a wasteful number, since it uses less digits than its factorization.

3123154980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3123154980 is about 55885.1946404412. The cubic root of 3123154980 is about 1461.7210859983.

The spelling of 3123154980 in words is "three billion, one hundred twenty-three million, one hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 163 165 180 198 220 326 330 396 489 495 652 660 815 978 990 1467 1630 1793 1956 1980 2445 2934 3260 3586 4890 5379 5868 7172 7335 8965 9677 9780 10758 14670 16137 17930 19354 21516 26895 29031 29340 32274 35860 38708 48385 53790 58062 64548 80685 87093 96770 106447 107580 116124 145155 161370 174186 193540 212894 290310 319341 322740 348372 425788 435465 532235 580620 638682 870930 958023 1064470 1277364 1577351 1596705 1741860 1916046 2128940 3154702 3193410 3832092 4732053 4790115 6309404 6386820 7886755 9464106 9580230 14196159 15773510 17350861 18928212 19160460 23660265 28392318 31547020 34701722 47320530 52052583 56784636 69403444 70980795 86754305 94641060 104105166 141961590 156157749 173508610 208210332 260262915 283923180 312315498 347017220 520525830 624630996 780788745 1041051660 1561577490 3123154980