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55109120 = 2951119103
BaseRepresentation
bin1101001000111…
…0011000000000
310211200211111112
43102032120000
5103101442440
65245102452
71236263663
oct322163000
9124624445
1055109120
1129120330
1216557a28
13b556a61
1474676da
154c88965
hex348e600

55109120 has 160 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 18800640.

The previous prime is 55109113. The next prime is 55109129. The reversal of 55109120 is 2190155.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55109129) 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, 534989 + ... + 535091.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 255109120 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 55109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

55109120 is an abundant number, since it is smaller than the sum of its proper divisors (98095360).

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

55109120 is a wasteful number, since it uses less digits than its factorization.

55109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 55109120 is about 7423.5517106032. The cubic root of 55109120 is about 380.5465818554.

Adding to 55109120 its reverse (2190155), we get a palindrome (57299275).

The spelling of 55109120 in words is "fifty-five million, one hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 103 110 128 152 160 176 190 206 209 220 256 304 320 352 380 412 418 440 512 515 608 640 704 760 824 836 880 1030 1045 1133 1216 1280 1408 1520 1648 1672 1760 1957 2060 2090 2266 2432 2560 2816 3040 3296 3344 3520 3914 4120 4180 4532 4864 5632 5665 6080 6592 6688 7040 7828 8240 8360 9064 9728 9785 11330 12160 13184 13376 14080 15656 16480 16720 18128 19570 21527 22660 24320 26368 26752 28160 31312 32960 33440 36256 39140 43054 45320 48640 52736 53504 62624 65920 66880 72512 78280 86108 90640 107008 107635 125248 131840 133760 145024 156560 172216 181280 215270 250496 263680 267520 290048 313120 344432 362560 430540 500992 535040 580096 626240 688864 725120 861080 1001984 1252480 1377728 1450240 1722160 2504960 2755456 2900480 3444320 5009920 5510912 6888640 11021824 13777280 27554560 55109120