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1055345004 = 2233710313553
BaseRepresentation
bin111110111001110…
…100100101101100
32201112211002012000
4332321310211230
54130132020004
6252415412300
735103166410
oct7671644554
92645732160
101055345004
114a179535a
12255524090
1313a8473cc
14a0236d40
15629b4c39
hex3ee7496c

1055345004 has 96 divisors (see below), whose sum is σ = 3157539840. Its totient is φ = 298577664.

The previous prime is 1055344999. The next prime is 1055345017. The reversal of 1055345004 is 4005435501.

1055345004 is a `hidden beast` number, since 105 + 53 + 4 + 500 + 4 = 666.

It is a super-2 number, since 2×10553450042 = 2227506154935520032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71092 + ... + 84644.

It is an arithmetic number, because the mean of its divisors is an integer number (32891040).

Almost surely, 21055345004 is an apocalyptic number.

1055345004 is a gapful number since it is divisible by the number (14) 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 1055345004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578769920).

1055345004 is an abundant number, since it is smaller than the sum of its proper divisors (2102194836).

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

1055345004 is a wasteful number, since it uses less digits than its factorization.

1055345004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13676 (or 13668 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1055345004 is about 32486.0740010239. The cubic root of 1055345004 is about 1018.1180870756.

The spelling of 1055345004 in words is "one billion, fifty-five million, three hundred forty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1854 2163 2781 2884 3708 4326 5562 6489 8652 11124 12978 13553 19467 25956 27106 38934 40659 54212 77868 81318 94871 121977 162636 189742 243954 284613 365931 379484 487908 569226 731862 853839 1138452 1395959 1463724 1707678 2561517 2791918 3415356 4187877 5123034 5583836 8375754 9771713 10246068 12563631 16751508 19543426 25127262 29315139 37690893 39086852 50254524 58630278 75381786 87945417 117260556 150763572 175890834 263836251 351781668 527672502 1055345004