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553220460 = 22325131713907
BaseRepresentation
bin100000111110010…
…111100101101100
31102112222111210200
4200332113211230
52113111023320
6130521233500
716465203432
oct4076274554
91375874720
10553220460
112643077a1
12135332890
138a7ca2b0
145368ad52
153387c290
hex20f9796c

553220460 has 144 divisors (see below), whose sum is σ = 1913629536. Its totient is φ = 128157696.

The previous prime is 553220431. The next prime is 553220471. The reversal of 553220460 is 64022355.

It is a super-2 number, since 2×5532204602 = 612105754725223200, which contains 22 as substring.

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, 32827 + ... + 46733.

It is an arithmetic number, because the mean of its divisors is an integer number (13289094).

Almost surely, 2553220460 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 553220460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956814768).

553220460 is an abundant number, since it is smaller than the sum of its proper divisors (1360409076).

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

553220460 is a wasteful number, since it uses less digits than its factorization.

553220460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13952 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 553220460 is about 23520.6390219314. The cubic root of 553220460 is about 820.9173058008.

The spelling of 553220460 in words is "five hundred fifty-three million, two hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 13907 19890 27814 39780 41721 55628 69535 83442 125163 139070 166884 180791 208605 236419 250326 278140 361582 417210 472838 500652 542373 625815 709257 723164 834420 903955 945676 1084746 1182095 1251630 1418514 1627119 1807910 2127771 2169492 2364190 2503260 2711865 2837028 3073447 3254238 3546285 3615820 4255542 4728380 5423730 6146894 6508476 7092570 8135595 8511084 9220341 10638855 10847460 12293788 14185140 15367235 16271190 18440682 21277710 27661023 30734470 32542380 36881364 42555420 46101705 55322046 61468940 92203410 110644092 138305115 184406820 276610230 553220460