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553753980 = 22325132310289
BaseRepresentation
bin100001000000011…
…001110101111100
31102120222121122200
4201000121311330
52113230111410
6130540511500
716502555043
oct4100316574
91376877580
10553753980
1126464161a
1213554b590
138a9560a0
145378955a
15339353c0
hex21019d7c

553753980 has 144 divisors (see below), whose sum is σ = 1887762240. Its totient is φ = 130369536.

The previous prime is 553753943. The next prime is 553754009. The reversal of 553753980 is 89357355.

553753980 is a `hidden beast` number, since 5 + 5 + 37 + 539 + 80 = 666.

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

It is a congruent number.

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, 48676 + ... + 58964.

It is an arithmetic number, because the mean of its divisors is an integer number (13109460).

Almost surely, 2553753980 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 553753980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943881120).

553753980 is an abundant number, since it is smaller than the sum of its proper divisors (1334008260).

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

553753980 is a wasteful number, since it uses less digits than its factorization.

553753980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340 (or 10335 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 553753980 is about 23531.9778174296. The cubic root of 553753980 is about 821.1811156891.

The spelling of 553753980 in words is "five hundred fifty-three million, seven hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10289 10764 13455 17940 20578 26910 30867 41156 51445 53820 61734 92601 102890 123468 133757 154335 185202 205780 236647 267514 308670 370404 401271 463005 473294 535028 617340 668785 709941 802542 926010 946588 1183235 1203813 1337570 1419882 1605084 1852020 2006355 2129823 2366470 2407626 2675140 2839764 3076411 3549705 4012710 4259646 4732940 4815252 6019065 6152822 7099410 8025420 8519292 9229233 10649115 12038130 12305644 14198820 15382055 18458466 21298230 24076260 27687699 30764110 36916932 42596460 46146165 55375398 61528220 92292330 110750796 138438495 184584660 276876990 553753980