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132041088 = 2732611879
BaseRepresentation
bin1111101111011…
…00100110000000
3100012110101022200
413313230212000
5232300303323
621034033200
73162221304
oct767544600
9305411280
10132041088
1168596473
1238278800
132148182a
1413771d04
15b8d3443
hex7dec980

132041088 has 96 divisors (see below), whose sum is σ = 386396400. Its totient is φ = 43269120.

The previous prime is 132041083. The next prime is 132041093. The reversal of 132041088 is 880140231.

It is an interprime number because it is at equal distance from previous prime (132041083) and next prime (132041093).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132041081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69333 + ... + 71211.

Almost surely, 2132041088 is an apocalyptic number.

132041088 is a gapful number since it is divisible by the number (18) 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 132041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193198200).

132041088 is an abundant number, since it is smaller than the sum of its proper divisors (254355312).

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

132041088 is a wasteful number, since it uses less digits than its factorization.

132041088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132041088 is about 11490.9132796310. The cubic root of 132041088 is about 509.2171611427.

The spelling of 132041088 in words is "one hundred thirty-two million, forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1879 1952 2196 2928 3758 3904 4392 5637 5856 7516 7808 8784 11274 11712 15032 16911 17568 22548 23424 30064 33822 35136 45096 60128 67644 70272 90192 114619 120256 135288 180384 229238 240512 270576 343857 360768 458476 541152 687714 721536 916952 1031571 1082304 1375428 1833904 2063142 2164608 2750856 3667808 4126284 5501712 7335616 8252568 11003424 14671232 16505136 22006848 33010272 44013696 66020544 132041088