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132475770 = 23357292417
BaseRepresentation
bin1111110010101…
…10101101111010
3100020021110121000
413321112231322
5232403211040
621051225430
73166011510
oct771265572
9306243530
10132475770
1168863009
1238448276
13215a463b
14138464b0
15b96c130
hex7e56b7a

132475770 has 128 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 29223936.

The previous prime is 132475753. The next prime is 132475789. The reversal of 132475770 is 77574231.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53602 + ... + 56018.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2132475770 is an apocalyptic number.

132475770 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 132475770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

132475770 is an abundant number, since it is smaller than the sum of its proper divisors (285354630).

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

132475770 is a wasteful number, since it uses less digits than its factorization.

132475770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 132475770 is about 11509.8119011563. The cubic root of 132475770 is about 509.7753335699.

The spelling of 132475770 in words is "one hundred thirty-two million, four hundred seventy-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 87 90 105 126 135 145 174 189 203 210 261 270 290 315 378 406 435 522 609 630 783 870 945 1015 1218 1305 1566 1827 1890 2030 2417 2610 3045 3654 3915 4834 5481 6090 7251 7830 9135 10962 12085 14502 16919 18270 21753 24170 27405 33838 36255 43506 50757 54810 65259 70093 72510 84595 101514 108765 130518 140186 152271 169190 210279 217530 253785 304542 326295 350465 420558 456813 490651 507570 630837 652590 700930 761355 913626 981302 1051395 1261674 1471953 1522710 1892511 2102790 2284065 2453255 2943906 3154185 3785022 4415859 4568130 4906510 6308370 7359765 8831718 9462555 13247577 14719530 18925110 22079295 26495154 44158590 66237885 132475770