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1055345610 = 235114437219
BaseRepresentation
bin111110111001110…
…100101111001010
32201112211010000110
4332321310233022
54130132024420
6252415415150
735103201234
oct7671645712
92645733013
101055345610
114a1795860
122555244b6
1313a847777
14a0237254
15629b4ee0
hex3ee74bca

1055345610 has 64 divisors (see below), whose sum is σ = 2769707520. Its totient is φ = 255228480.

The previous prime is 1055345591. The next prime is 1055345677. The reversal of 1055345610 is 165435501.

It is a super-2 number, since 2×10553456102 = 2227508713092544200, which contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142581 + ... + 149799.

It is an arithmetic number, because the mean of its divisors is an integer number (43276680).

Almost surely, 21055345610 is an apocalyptic number.

1055345610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055345610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384853760).

1055345610 is an abundant number, since it is smaller than the sum of its proper divisors (1714361910).

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

1055345610 is a wasteful number, since it uses less digits than its factorization.

1055345610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1055345610 is about 32486.0833280960. The cubic root of 1055345610 is about 1018.1182819501.

The spelling of 1055345610 in words is "one billion, fifty-five million, three hundred forty-five thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 443 886 1329 2215 2658 4430 4873 6645 7219 9746 13290 14438 14619 21657 24365 29238 36095 43314 48730 72190 73095 79409 108285 146190 158818 216570 238227 397045 476454 794090 1191135 2382270 3198017 6396034 9594051 15990085 19188102 31980170 35178187 47970255 70356374 95940510 105534561 175890935 211069122 351781870 527672805 1055345610