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132092160 = 283541839
BaseRepresentation
bin1111101111110…
…01000100000000
3100012112222101020
413313321010000
5232303422120
621035105440
73162523224
oct767710400
9305488336
10132092160
1168620882
12382a2280
132149bb55
1413786784
15b8e3640
hex7df9100

132092160 has 144 divisors (see below), whose sum is σ = 432673920. Its totient is φ = 34324480.

The previous prime is 132092131. The next prime is 132092189. The reversal of 132092160 is 61290231.

132092160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132092131) and next prime (132092189).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132092160.

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 15 ways as a sum of consecutive naturals, for example, 157021 + ... + 157859.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 2132092160 is an apocalyptic number.

132092160 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 132092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216336960).

132092160 is an abundant number, since it is smaller than the sum of its proper divisors (300581760).

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

132092160 is an equidigital number, since it uses as much as digits as its factorization.

132092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 132092160 is about 11493.1353424555. The cubic root of 132092160 is about 509.2828058268.

The spelling of 132092160 in words is "one hundred thirty-two million, ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 839 960 984 1230 1280 1312 1640 1678 1920 1968 2460 2517 2624 3280 3356 3840 3936 4195 4920 5034 5248 6560 6712 7872 8390 9840 10068 10496 12585 13120 13424 15744 16780 19680 20136 25170 26240 26848 31488 33560 34399 39360 40272 50340 52480 53696 67120 68798 78720 80544 100680 103197 107392 134240 137596 157440 161088 171995 201360 206394 214784 268480 275192 322176 343990 402720 412788 515985 536960 550384 644352 687980 805440 825576 1031970 1073920 1100768 1375960 1610880 1651152 2063940 2201536 2751920 3221760 3302304 4127880 4403072 5503840 6604608 8255760 8806144 11007680 13209216 16511520 22015360 26418432 33023040 44030720 66046080 132092160