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132955140 = 223529431777
BaseRepresentation
bin1111110110010…
…11110000000100
3100021011211011110
413323023300010
5233014031030
621105405020
73203046213
oct773136004
9307154143
10132955140
116906018a
1238639770
13217118a6
141392d07a
15ba141b0
hex7ecbc04

132955140 has 96 divisors (see below), whose sum is σ = 394289280. Its totient is φ = 33417216.

The previous prime is 132955139. The next prime is 132955177. The reversal of 132955140 is 41559231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132955098 and 132955107.

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, 73932 + ... + 75708.

It is an arithmetic number, because the mean of its divisors is an integer number (4107180).

Almost surely, 2132955140 is an apocalyptic number.

132955140 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 132955140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197144640).

132955140 is an abundant number, since it is smaller than the sum of its proper divisors (261334140).

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

132955140 is a wasteful number, since it uses less digits than its factorization.

132955140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1859 counting only the distinct ones).

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

The square root of 132955140 is about 11530.6175029788. The cubic root of 132955140 is about 510.3894756546.

The spelling of 132955140 in words is "one hundred thirty-two million, nine hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 43 58 60 86 87 116 129 145 172 174 215 258 290 348 430 435 516 580 645 860 870 1247 1290 1740 1777 2494 2580 3554 3741 4988 5331 6235 7108 7482 8885 10662 12470 14964 17770 18705 21324 24940 26655 35540 37410 51533 53310 74820 76411 103066 106620 152822 154599 206132 229233 257665 305644 309198 382055 458466 515330 618396 764110 772995 916932 1030660 1146165 1528220 1545990 2215919 2292330 3091980 4431838 4584660 6647757 8863676 11079595 13295514 22159190 26591028 33238785 44318380 66477570 132955140