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55165120 = 265316783
BaseRepresentation
bin1101001001110…
…0000011000000
310211210200022121
43102130003000
5103110240440
65250214024
71236616153
oct322340300
9124720277
1055165120
112915940a
1216584314
13b5763aa
14747dc9a
154c9a34a
hex349c0c0

55165120 has 112 divisors (see below), whose sum is σ = 139281408. Its totient is φ = 20782080.

The previous prime is 55165091. The next prime is 55165127. The reversal of 55165120 is 2156155.

It is a super-2 number, since 2×551651202 = 6086380929228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55165127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664599 + ... + 664681.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 255165120 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 55165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69640704).

55165120 is an abundant number, since it is smaller than the sum of its proper divisors (84116288).

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

55165120 is a wasteful number, since it uses less digits than its factorization.

55165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 55165120 is about 7427.3225323800. The cubic root of 55165120 is about 380.6754376859.

The spelling of 55165120 in words is "fifty-five million, one hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 67 80 83 124 134 155 160 166 248 268 310 320 332 335 415 496 536 620 664 670 830 992 1072 1240 1328 1340 1660 1984 2077 2144 2480 2573 2656 2680 3320 4154 4288 4960 5146 5312 5360 5561 6640 8308 9920 10292 10385 10720 11122 12865 13280 16616 20584 20770 21440 22244 25730 26560 27805 33232 41168 41540 44488 51460 55610 66464 82336 83080 88976 102920 111220 132928 164672 166160 172391 177952 205840 222440 332320 344782 355904 411680 444880 664640 689564 823360 861955 889760 1379128 1723910 1779520 2758256 3447820 5516512 6895640 11033024 13791280 27582560 55165120