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132455190 = 23573717047
BaseRepresentation
bin1111110010100…
…01101100010110
3100020020102100210
413321101230112
5232402031230
621050550250
73165564510
oct771215426
9306212323
10132455190
11688495aa
1238438386
132159816a
141383cbb0
15b965eb0
hex7e51b16

132455190 has 64 divisors (see below), whose sum is σ = 373146624. Its totient is φ = 29455488.

The previous prime is 132455171. The next prime is 132455207. The reversal of 132455190 is 91554231.

It is a super-2 number, since 2×1324551902 = 35088754715872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 754 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (5830416).

Almost surely, 2132455190 is an apocalyptic number.

132455190 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 132455190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186573312).

132455190 is an abundant number, since it is smaller than the sum of its proper divisors (240691434).

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

132455190 is a wasteful number, since it uses less digits than its factorization.

132455190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17101.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 132455190 is about 11508.9178466092. The cubic root of 132455190 is about 509.7489344790.

The spelling of 132455190 in words is "one hundred thirty-two million, four hundred fifty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 7770 17047 34094 51141 85235 102282 119329 170470 238658 255705 357987 511410 596645 630739 715974 1193290 1261478 1789935 1892217 3153695 3579870 3784434 4415173 6307390 8830346 9461085 13245519 18922170 22075865 26491038 44151730 66227595 132455190