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132146070 = 23571075881
BaseRepresentation
bin1111110000001…
…10001110010110
3100012122201022220
413320012032112
5232312133240
621040203210
73163136340
oct770061626
9305581286
10132146070
1168658331
1238309506
13214ba554
141379c290
15b9045d0
hex7e06396

132146070 has 64 divisors (see below), whose sum is σ = 365907456. Its totient is φ = 29917440.

The previous prime is 132146051. The next prime is 132146081. The reversal of 132146070 is 70641231.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132146070.

It is a congruent number.

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, 19530 + ... + 25410.

It is an arithmetic number, because the mean of its divisors is an integer number (5717304).

Almost surely, 2132146070 is an apocalyptic number.

132146070 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 132146070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182953728).

132146070 is an abundant number, since it is smaller than the sum of its proper divisors (233761386).

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

132146070 is a wasteful number, since it uses less digits than its factorization.

132146070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132146070 is about 11495.4804162332. The cubic root of 132146070 is about 509.3520799403.

The spelling of 132146070 in words is "one hundred thirty-two million, one hundred forty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 4494 5881 7490 11235 11762 17643 22470 29405 35286 41167 58810 82334 88215 123501 176430 205835 247002 411670 617505 629267 1235010 1258534 1887801 3146335 3775602 4404869 6292670 8809738 9439005 13214607 18878010 22024345 26429214 44048690 66073035 132146070