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132450540 = 223529163467
BaseRepresentation
bin1111110010100…
…00100011101100
3100020020011222120
413321100203230
5232401404130
621050512540
73165545115
oct771204354
9306204876
10132450540
1168846062
1238435750
1321596001
141383b20c
15b964910
hex7e508ec

132450540 has 96 divisors (see below), whose sum is σ = 386830080. Its totient is φ = 33820416.

The previous prime is 132450523. The next prime is 132450557. The reversal of 132450540 is 45054231.

It is an interprime number because it is at equal distance from previous prime (132450523) and next prime (132450557).

It is a self number, because there is not a number n which added to its sum of digits gives 132450540.

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, 283387 + ... + 283853.

It is an arithmetic number, because the mean of its divisors is an integer number (4029480).

Almost surely, 2132450540 is an apocalyptic number.

132450540 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 132450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193415040).

132450540 is an abundant number, since it is smaller than the sum of its proper divisors (254379540).

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

132450540 is a wasteful number, since it uses less digits than its factorization.

132450540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 132450540 is about 11508.7158275804. The cubic root of 132450540 is about 509.7429692911.

The spelling of 132450540 in words is "one hundred thirty-two million, four hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 163 174 290 326 348 435 467 489 580 652 815 870 934 978 1401 1630 1740 1868 1956 2335 2445 2802 3260 4670 4727 4890 5604 7005 9340 9454 9780 13543 14010 14181 18908 23635 27086 28020 28362 40629 47270 54172 56724 67715 70905 76121 81258 94540 135430 141810 152242 162516 203145 228363 270860 283620 304484 380605 406290 456726 761210 812580 913452 1141815 1522420 2207509 2283630 4415018 4567260 6622527 8830036 11037545 13245054 22075090 26490108 33112635 44150180 66225270 132450540