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132150690 = 2355717457
BaseRepresentation
bin1111110000001…
…11010110100010
3100012122221200000
413320013112202
5232312310230
621040240430
73163155660
oct770072642
9305587600
10132150690
1168660851
1238310116
13214bc699
141379dc30
15b905b60
hex7e075a2

132150690 has 192 divisors, whose sum is σ = 432117504. Its totient is φ = 28366848.

The previous prime is 132150631. The next prime is 132150701. The reversal of 132150690 is 96051231.

It is a super-2 number, since 2×1321506902 = 34927609734952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288942 + ... + 289398.

It is an arithmetic number, because the mean of its divisors is an integer number (2250612).

Almost surely, 2132150690 is an apocalyptic number.

132150690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132150690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216058752).

132150690 is an abundant number, since it is smaller than the sum of its proper divisors (299966814).

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

132150690 is a wasteful number, since it uses less digits than its factorization.

132150690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 132150690 is about 11495.6813630163. The cubic root of 132150690 is about 509.3580157434.

The spelling of 132150690 in words is "one hundred thirty-two million, one hundred fifty thousand, six hundred ninety".