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1166106084 = 223111334021
BaseRepresentation
bin100010110000001…
…0101110111100100
310000021020022211020
41011200111313210
54342010343314
6311413411140
740616511123
oct10540256744
93007208736
101166106084
11549266840
12286639ab0
13157788000
14b0c29aba
156c592da9
hex45815de4

1166106084 has 96 divisors (see below), whose sum is σ = 3216312960. Its totient is φ = 326102400.

The previous prime is 1166106079. The next prime is 1166106101. The reversal of 1166106084 is 4806016611.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 287994 + ... + 292014.

It is an arithmetic number, because the mean of its divisors is an integer number (33503260).

Almost surely, 21166106084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166106084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608156480).

1166106084 is an abundant number, since it is smaller than the sum of its proper divisors (2050206876).

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

1166106084 is a wasteful number, since it uses less digits than its factorization.

1166106084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1166106084 is about 34148.2954772270. The cubic root of 1166106084 is about 1052.5579610864.

The spelling of 1166106084 in words is "one billion, one hundred sixty-six million, one hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1859 2028 2197 3718 4021 4394 5577 6591 7436 8042 8788 11154 12063 13182 16084 22308 24126 24167 26364 44231 48252 48334 52273 72501 88462 96668 104546 132693 145002 156819 176924 209092 265386 290004 313638 530772 575003 627276 679549 1150006 1359098 1725009 2038647 2300012 2718196 3450018 4077294 6900036 7475039 8154588 8834137 14950078 17668274 22425117 26502411 29900156 35336548 44850234 53004822 89700468 97175507 106009644 194351014 291526521 388702028 583053042 1166106084