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132289245 = 325113137233
BaseRepresentation
bin1111110001010…
…01001011011101
3100012220222201200
413320221023131
5232331223440
621043230113
73164303634
oct770511335
9305828650
10132289245
1168745960
1238378339
132153a77a
14137d851b
15b931c30
hex7e292dd

132289245 has 96 divisors (see below), whose sum is σ = 266333184. Its totient is φ = 60134400.

The previous prime is 132289231. The next prime is 132289249. The reversal of 132289245 is 542982231.

It is a happy number.

132289245 is a `hidden beast` number, since 132 + 289 + 245 = 666.

It is not a de Polignac number, because 132289245 - 26 = 132289181 is a prime.

Its product of digits (34560) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132289249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 567649 + ... + 567881.

It is an arithmetic number, because the mean of its divisors is an integer number (2774304).

Almost surely, 2132289245 is an apocalyptic number.

132289245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132289245 is an abundant number, since it is smaller than the sum of its proper divisors (134043939).

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

132289245 is a wasteful number, since it uses less digits than its factorization.

132289245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 132289245 is about 11501.7061777808. The cubic root of 132289245 is about 509.5359677704.

The spelling of 132289245 in words is "one hundred thirty-two million, two hundred eighty-nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 31 33 37 45 55 93 99 111 155 165 185 233 279 333 341 407 465 495 555 699 1023 1147 1165 1221 1395 1665 1705 2035 2097 2563 3069 3441 3495 3663 5115 5735 6105 7223 7689 8621 10323 10485 12617 12815 15345 17205 18315 21669 23067 25863 36115 37851 38445 43105 51615 63085 65007 77589 79453 94831 108345 113553 115335 129315 189255 238359 267251 284493 325035 387945 397265 474155 567765 715077 801753 853479 1191795 1336255 1422465 2405259 2939761 3575385 4008765 4267395 8819283 12026295 14698805 26457849 44096415 132289245