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1106054304 = 253106110859
BaseRepresentation
bin100000111101101…
…0000110010100000
32212002020101021020
41001323100302200
54231122214204
6301430325440
736260210055
oct10173206240
92762211236
101106054304
1151837aa73
1226a4b9880
131481c0604
14a6c7702c
156717ebd9
hex41ed0ca0

1106054304 has 48 divisors (see below), whose sum is σ = 2906396640. Its totient is φ = 368303360.

The previous prime is 1106054281. The next prime is 1106054351. The reversal of 1106054304 is 4034506011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11060543042 = 2446712246793848832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96427 + ... + 107285.

It is an arithmetic number, because the mean of its divisors is an integer number (60549930).

Almost surely, 21106054304 is an apocalyptic number.

It is an amenable number.

1106054304 is an abundant number, since it is smaller than the sum of its proper divisors (1800342336).

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

1106054304 is a wasteful number, since it uses less digits than its factorization.

1106054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11933 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1106054304 is about 33257.3947265867. The cubic root of 1106054304 is about 1034.1705113838.

The spelling of 1106054304 in words is "one billion, one hundred six million, fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1061 2122 3183 4244 6366 8488 10859 12732 16976 21718 25464 32577 33952 43436 50928 65154 86872 101856 130308 173744 260616 347488 521232 1042464 11521399 23042798 34564197 46085596 69128394 92171192 138256788 184342384 276513576 368684768 553027152 1106054304