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55575720 = 23345171009
BaseRepresentation
bin1101010000000…
…0010010101000
310212120112120000
43110000102220
5103211410340
65303103000
71243246224
oct324002250
9125515500
1055575720
1129409952
1216741a60
13b68b255
147549784
154d2bd30
hex35004a8

55575720 has 160 divisors (see below), whose sum is σ = 197980200. Its totient is φ = 13934592.

The previous prime is 55575719. The next prime is 55575733. The reversal of 55575720 is 2757555.

It can be written as a sum of positive squares in 4 ways, for example, as 46539684 + 9036036 = 6822^2 + 3006^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54576 + ... + 55584.

Almost surely, 255575720 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 55575720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98990100).

55575720 is an abundant number, since it is smaller than the sum of its proper divisors (142404480).

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

55575720 is a wasteful number, since it uses less digits than its factorization.

55575720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 55575720 is about 7454.9124743353. The cubic root of 55575720 is about 381.6175736537.

The spelling of 55575720 in words is "fifty-five million, five hundred seventy-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1009 1020 1080 1224 1377 1530 1620 1836 2018 2040 2295 2754 3027 3060 3240 3672 4036 4590 5045 5508 6054 6120 6885 8072 9081 9180 10090 11016 12108 13770 15135 17153 18162 18360 20180 24216 27243 27540 30270 34306 36324 40360 45405 51459 54486 55080 60540 68612 72648 81729 85765 90810 102918 108972 121080 136215 137224 154377 163458 171530 181620 205836 217944 257295 272430 308754 326916 343060 363240 408645 411672 463131 514590 544860 617508 653832 686120 771885 817290 926262 1029180 1089720 1235016 1389393 1543770 1634580 1852524 2058360 2315655 2778786 3087540 3269160 3705048 4631310 5557572 6175080 6946965 9262620 11115144 13893930 18525240 27787860 55575720