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1055292120 = 233256174751
BaseRepresentation
bin111110111001100…
…111101011011000
32201112201101122100
4332321213223120
54130123321440
6252414323400
735102556261
oct7671475330
92645641570
101055292120
114a1759653
122554b9560
1313a82930c
14a0221968
15629a4230
hex3ee67ad8

1055292120 has 96 divisors (see below), whose sum is σ = 3435981120. Its totient is φ = 280896000.

The previous prime is 1055292079. The next prime is 1055292127. The reversal of 1055292120 is 212925501.

1055292120 is a `hidden beast` number, since 1 + 0 + 552 + 92 + 1 + 20 = 666.

It is a super-2 number, since 2×10552921202 = 2227282917068188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055292127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219745 + ... + 224495.

It is an arithmetic number, because the mean of its divisors is an integer number (35791470).

Almost surely, 21055292120 is an apocalyptic number.

1055292120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055292120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717990560).

1055292120 is an abundant number, since it is smaller than the sum of its proper divisors (2380689000).

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

1055292120 is a wasteful number, since it uses less digits than its factorization.

1055292120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1055292120 is about 32485.2600420560. The cubic root of 1055292120 is about 1018.1010806129.

The spelling of 1055292120 in words is "one billion, fifty-five million, two hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 617 1234 1851 2468 3085 3702 4751 4936 5553 6170 7404 9255 9502 11106 12340 14253 14808 18510 19004 22212 23755 24680 27765 28506 37020 38008 42759 44424 47510 55530 57012 71265 74040 85518 95020 111060 114024 142530 171036 190040 213795 222120 285060 342072 427590 570120 855180 1710360 2931367 5862734 8794101 11725468 14656835 17588202 23450936 26382303 29313670 35176404 43970505 52764606 58627340 70352808 87941010 105529212 117254680 131911515 175882020 211058424 263823030 351764040 527646060 1055292120