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16480980 = 22325196179
BaseRepresentation
bin111110110111…
…101011010100
31011000022122200
4332313223110
513204342410
61345124500
7260041335
oct76675324
934008580
1016480980
11933744a
125629730
133550779
14229028c
1516a83c0
hexfb7ad4

16480980 has 144 divisors (see below), whose sum is σ = 54163200. Its totient is φ = 4043520.

The previous prime is 16480969. The next prime is 16480993. The reversal of 16480980 is 8908461.

It is a happy number.

16480980 is a `hidden beast` number, since 1 + 648 + 0 + 9 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208581 + ... + 208659.

Almost surely, 216480980 is an apocalyptic number.

16480980 is a gapful number since it is divisible by the number (10) 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 16480980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081600).

16480980 is an abundant number, since it is smaller than the sum of its proper divisors (37682220).

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

16480980 is a wasteful number, since it uses less digits than its factorization.

16480980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16480980 is about 4059.6773270791. The cubic root of 16480980 is about 254.4843096022.

The spelling of 16480980 in words is "sixteen million, four hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 79 90 95 114 122 158 171 180 183 190 228 237 244 285 305 316 342 366 380 395 474 549 570 610 684 711 732 790 855 915 948 1098 1140 1159 1185 1220 1422 1501 1580 1710 1830 2196 2318 2370 2745 2844 3002 3420 3477 3555 3660 4503 4636 4740 4819 5490 5795 6004 6954 7110 7505 9006 9638 10431 10980 11590 13509 13908 14220 14457 15010 17385 18012 19276 20862 22515 23180 24095 27018 28914 30020 34770 41724 43371 45030 48190 52155 54036 57828 67545 69540 72285 86742 90060 91561 96380 104310 135090 144570 173484 183122 208620 216855 270180 274683 289140 366244 433710 457805 549366 824049 867420 915610 1098732 1373415 1648098 1831220 2746830 3296196 4120245 5493660 8240490 16480980