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132350976 = 210334787
BaseRepresentation
bin1111110001110…
…00010000000000
3100020001010102000
413320320100000
5232340212401
621044424000
73164651622
oct770702000
9306033360
10132350976
116878827a
12383a8000
132155c8b4
1413812c12
15b945186
hex7e38400

132350976 has 88 divisors (see below), whose sum is σ = 392041440. Its totient is φ = 44107776.

The previous prime is 132350963. The next prime is 132351019. The reversal of 132350976 is 679053231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132350976.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25255 + ... + 30041.

Almost surely, 2132350976 is an apocalyptic number.

132350976 is a gapful number since it is divisible by the number (16) 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 132350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020720).

132350976 is an abundant number, since it is smaller than the sum of its proper divisors (259690464).

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

132350976 is an equidigital number, since it uses as much as digits as its factorization.

132350976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 132350976 is about 11504.3894231724. The cubic root of 132350976 is about 509.6152114851.

The spelling of 132350976 in words is "one hundred thirty-two million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 4787 6912 9216 9574 13824 14361 19148 27648 28722 38296 43083 57444 76592 86166 114888 129249 153184 172332 229776 258498 306368 344664 459552 516996 612736 689328 919104 1033992 1225472 1378656 1838208 2067984 2450944 2757312 3676416 4135968 4901888 5514624 7352832 8271936 11029248 14705664 16543872 22058496 33087744 44116992 66175488 132350976