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1105480026 = 232731733877
BaseRepresentation
bin100000111100100…
…0100100101011010
32212001011012111200
41001321010211122
54231000330101
6301410135030
736252265560
oct10171044532
92761135450
101105480026
11518018562
1226a281476
1314804c0c1
14a6b67a30
15670b9986
hex41e4495a

1105480026 has 96 divisors (see below), whose sum is σ = 2865128448. Its totient is φ = 301397760.

The previous prime is 1105479931. The next prime is 1105480031. The reversal of 1105480026 is 6200845011.

1105480026 is a `hidden beast` number, since 110 + 548 + 0 + 0 + 2 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283200 + ... + 287076.

It is an arithmetic number, because the mean of its divisors is an integer number (29845088).

Almost surely, 21105480026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105480026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432564224).

1105480026 is an abundant number, since it is smaller than the sum of its proper divisors (1759648422).

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

1105480026 is a wasteful number, since it uses less digits than its factorization.

1105480026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1105480026 is about 33248.7597663432. The cubic root of 1105480026 is about 1033.9914954025.

The spelling of 1105480026 in words is "one billion, one hundred five million, four hundred eighty thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 73 93 126 146 186 217 219 279 434 438 511 558 651 657 1022 1302 1314 1533 1953 2263 3066 3877 3906 4526 4599 6789 7754 9198 11631 13578 15841 20367 23262 27139 31682 34893 40734 47523 54278 69786 81417 95046 120187 142569 162834 240374 244251 283021 285138 360561 488502 566042 721122 841309 849063 1081683 1682618 1698126 1981147 2163366 2523927 2547189 3962294 5047854 5094378 5943441 7571781 8773651 11886882 15143562 17547302 17830323 26320953 35660646 52641906 61415557 78962859 122831114 157925718 184246671 368493342 552740013 1105480026