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55189920 = 2535313709
BaseRepresentation
bin1101001010001…
…0000110100000
310211211221100010
43102202012200
5103112034140
65250524520
71240051362
oct322420640
9124757303
1055189920
1129176005
1216596740
13b584776
147488d32
154ca2880
hex34a21a0

55189920 has 96 divisors (see below), whose sum is σ = 179504640. Its totient is φ = 14238720.

The previous prime is 55189919. The next prime is 55189921. The reversal of 55189920 is 2998155.

It is an interprime number because it is at equal distance from previous prime (55189919) and next prime (55189921).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (55189921) 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, 13026 + ... + 16734.

It is an arithmetic number, because the mean of its divisors is an integer number (1869840).

Almost surely, 255189920 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 55189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89752320).

55189920 is an abundant number, since it is smaller than the sum of its proper divisors (124314720).

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

55189920 is a wasteful number, since it uses less digits than its factorization.

55189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 55189920 is about 7428.9918562346. The cubic root of 55189920 is about 380.7324745508.

The spelling of 55189920 in words is "fifty-five million, one hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3709 3720 4960 7418 7440 11127 14836 14880 18545 22254 29672 37090 44508 55635 59344 74180 89016 111270 114979 118688 148360 178032 222540 229958 296720 344937 356064 445080 459916 574895 593440 689874 890160 919832 1149790 1379748 1724685 1780320 1839664 2299580 2759496 3449370 3679328 4599160 5518992 6898740 9198320 11037984 13797480 18396640 27594960 55189920