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132250752 = 2733172251
BaseRepresentation
bin1111110000111…
…11110010000000
3100012212000221000
413320133302000
5232324011002
621042332000
73164053464
oct770376200
9305760830
10132250752
1168719a47
123835a000
13215260aa
14137c84a4
15b92561c
hex7e1fc80

132250752 has 128 divisors (see below), whose sum is σ = 413467200. Its totient is φ = 41472000.

The previous prime is 132250747. The next prime is 132250763. The reversal of 132250752 is 257052231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1322507522 = 34980522809131008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57627 + ... + 59877.

Almost surely, 2132250752 is an apocalyptic number.

132250752 is a gapful number since it is divisible by the number (12) 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 132250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206733600).

132250752 is an abundant number, since it is smaller than the sum of its proper divisors (281216448).

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

132250752 is a wasteful number, since it uses less digits than its factorization.

132250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 132250752 is about 11500.0326956057. The cubic root of 132250752 is about 509.4865420577.

The spelling of 132250752 in words is "one hundred thirty-two million, two hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2251 2448 3264 3456 3672 4502 4896 6528 6753 7344 9004 9792 13506 14688 18008 19584 20259 27012 29376 36016 38267 40518 54024 58752 60777 72032 76534 81036 108048 114801 121554 144064 153068 162072 216096 229602 243108 288128 306136 324144 344403 432192 459204 486216 612272 648288 688806 864384 918408 972432 1033209 1224544 1296576 1377612 1836816 1944864 2066418 2449088 2593152 2755224 3673632 3889728 4132836 4898176 5510448 7347264 7779456 8265672 11020896 14694528 16531344 22041792 33062688 44083584 66125376 132250752