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132335190 = 232513195953
BaseRepresentation
bin1111110001101…
…00011001010110
3100020000022202100
413320310121112
5232334211230
621044222530
73164554611
oct770643126
9306008670
10132335190
1168777429
123839aa46
1321555660
141380b178
15b940660
hex7e34656

132335190 has 96 divisors (see below), whose sum is σ = 390106080. Its totient is φ = 30855168.

The previous prime is 132335183. The next prime is 132335201. The reversal of 132335190 is 91533231.

It is a happy number.

It is a super-2 number, since 2×1323351902 = 35025205024672200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19254 + ... + 25206.

It is an arithmetic number, because the mean of its divisors is an integer number (4063605).

Almost surely, 2132335190 is an apocalyptic number.

132335190 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 132335190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195053040).

132335190 is an abundant number, since it is smaller than the sum of its proper divisors (257770890).

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

132335190 is a wasteful number, since it uses less digits than its factorization.

132335190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 132335190 is about 11503.7033167585. The cubic root of 132335190 is about 509.5949494368.

The spelling of 132335190 in words is "one hundred thirty-two million, three hundred thirty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 5953 7410 11115 11906 17859 22230 29765 35718 53577 59530 77389 89295 107154 113107 154778 178590 226214 232167 267885 339321 386945 464334 535770 565535 678642 696501 773890 1017963 1131070 1160835 1393002 1470391 1696605 2035926 2321670 2940782 3393210 3482505 4411173 5089815 6965010 7351955 8822346 10179630 13233519 14703910 22055865 26467038 44111730 66167595 132335190