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55485120 = 2635291993
BaseRepresentation
bin1101001110101…
…0001011000000
310212101221021110
43103222023000
5103201010440
65301123320
71242421125
oct323521300
9125357243
1055485120
1129357879
12166b9540
13b658c42
14752474c
154d10080
hex34ea2c0

55485120 has 112 divisors (see below), whose sum is σ = 182331360. Its totient is φ = 14278656.

The previous prime is 55485119. The next prime is 55485139. The reversal of 55485120 is 2158455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26844 + ... + 28836.

Almost surely, 255485120 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 55485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91165680).

55485120 is an abundant number, since it is smaller than the sum of its proper divisors (126846240).

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

55485120 is a wasteful number, since it uses less digits than its factorization.

55485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 55485120 is about 7448.8334657180. The cubic root of 55485120 is about 381.4100888197.

The spelling of 55485120 in words is "fifty-five million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 1993 2320 2784 3480 3986 4640 5568 5979 6960 7972 9280 9965 11958 13920 15944 19930 23916 27840 29895 31888 39860 47832 57797 59790 63776 79720 95664 115594 119580 127552 159440 173391 191328 231188 239160 288985 318880 346782 382656 462376 478320 577970 637760 693564 866955 924752 956640 1155940 1387128 1733910 1849504 1913280 2311880 2774256 3467820 3699008 4623760 5548512 6935640 9247520 11097024 13871280 18495040 27742560 55485120