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1132522104 = 233724612089
BaseRepresentation
bin100001110000000…
…1110101001111000
32220221001002021010
41003200032221320
54304411201404
6304213513520
740031164500
oct10340165170
92827032233
101132522104
1153130868a
122773428a0
1315082992c
14aa5a6a00
156965c189
hex4380ea78

1132522104 has 96 divisors (see below), whose sum is σ = 3302283600. Its totient is φ = 322721280.

The previous prime is 1132522091. The next prime is 1132522109. The reversal of 1132522104 is 4012252311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132522109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 541092 + ... + 543180.

Almost surely, 21132522104 is an apocalyptic number.

1132522104 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 1132522104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651141800).

1132522104 is an abundant number, since it is smaller than the sum of its proper divisors (2169761496).

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

1132522104 is a wasteful number, since it uses less digits than its factorization.

1132522104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1132522104 is about 33652.9657534072. The cubic root of 1132522104 is about 1042.3547801330.

Adding to 1132522104 its reverse (4012252311), we get a palindrome (5144774415).

The spelling of 1132522104 in words is "one billion, one hundred thirty-two million, five hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 461 588 922 1176 1383 1844 2089 2766 3227 3688 4178 5532 6267 6454 8356 9681 11064 12534 12908 14623 16712 19362 22589 25068 25816 29246 38724 43869 45178 50136 58492 67767 77448 87738 90356 102361 116984 135534 175476 180712 204722 271068 307083 350952 409444 542136 614166 818888 963029 1228332 1926058 2456664 2889087 3852116 5778174 6741203 7704232 11556348 13482406 20223609 23112696 26964812 40447218 47188421 53929624 80894436 94376842 141565263 161788872 188753684 283130526 377507368 566261052 1132522104