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132490260 = 223257711481
BaseRepresentation
bin1111110010110…
…10010000010100
3100020022012110200
413321122100110
5232404142020
621051420500
73166101660
oct771322024
9306265420
10132490260
1168872991
1238454730
13215ab106
141384b8a0
15b971590
hex7e5a414

132490260 has 144 divisors (see below), whose sum is σ = 466083072. Its totient is φ = 29836800.

The previous prime is 132490247. The next prime is 132490271. The reversal of 132490260 is 62094231.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 88720 + ... + 90200.

It is an arithmetic number, because the mean of its divisors is an integer number (3236688).

Almost surely, 2132490260 is an apocalyptic number.

132490260 is a gapful number since it is divisible by the number (10) 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 132490260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233041536).

132490260 is an abundant number, since it is smaller than the sum of its proper divisors (333592812).

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

132490260 is a wasteful number, since it uses less digits than its factorization.

132490260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132490260 is about 11510.4413468815. The cubic root of 132490260 is about 509.7939190448.

The spelling of 132490260 in words is "one hundred thirty-two million, four hundred ninety thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1481 1491 1988 2130 2485 2556 2962 2982 3195 4260 4443 4473 4970 5924 5964 6390 7405 7455 8886 8946 9940 10367 12780 13329 14810 14910 17772 17892 20734 22215 22365 26658 29620 29820 31101 41468 44430 44730 51835 53316 62202 66645 88860 89460 93303 103670 105151 124404 133290 155505 186606 207340 210302 266580 311010 315453 373212 420604 466515 525755 622020 630906 736057 933030 946359 1051510 1261812 1472114 1577265 1866060 1892718 2103020 2208171 2944228 3154530 3680285 3785436 4416342 4731795 6309060 6624513 7360570 8832684 9463590 11040855 13249026 14721140 18927180 22081710 26498052 33122565 44163420 66245130 132490260