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55702320 = 24352310091
BaseRepresentation
bin1101010001111…
…1001100110000
310212210222012220
43110133030300
5103224433240
65305521040
71244314302
oct324371460
9125728186
1055702320
1129495a83
12167a3180
13b703a6b
14757d972
154d545d0
hex351f330

55702320 has 80 divisors (see below), whose sum is σ = 180202752. Its totient is φ = 14206720.

The previous prime is 55702307. The next prime is 55702351. The reversal of 55702320 is 2320755.

55702320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 475 + ... + 10565.

Almost surely, 255702320 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 55702320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90101376).

55702320 is an abundant number, since it is smaller than the sum of its proper divisors (124500432).

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

55702320 is a wasteful number, since it uses less digits than its factorization.

55702320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 55702320 is about 7463.3986896052. The cubic root of 55702320 is about 381.9071254346.

The spelling of 55702320 in words is "fifty-five million, seven hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 10091 20182 30273 40364 50455 60546 80728 100910 121092 151365 161456 201820 232093 242184 302730 403640 464186 484368 605460 696279 807280 928372 1160465 1210920 1392558 1856744 2320930 2421840 2785116 3481395 3713488 4641860 5570232 6962790 9283720 11140464 13925580 18567440 27851160 55702320