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132104896 = 2671122437
BaseRepresentation
bin1111101111111…
…00001011000000
3100012120121211221
413313330023000
5232304324041
621035244424
73162605320
oct767741300
9305517757
10132104896
116862a400
12382a9714
13214a48a1
141378b280
15b8e72d1
hex7dfc2c0

132104896 has 84 divisors (see below), whose sum is σ = 329442064. Its totient is φ = 51448320.

The previous prime is 132104879. The next prime is 132104897. The reversal of 132104896 is 698401231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132104897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52990 + ... + 55426.

Almost surely, 2132104896 is an apocalyptic number.

132104896 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 132104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164721032).

132104896 is an abundant number, since it is smaller than the sum of its proper divisors (197337168).

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

132104896 is a wasteful number, since it uses less digits than its factorization.

132104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 132104896 is about 11493.6893989702. The cubic root of 132104896 is about 509.2991732311.

The spelling of 132104896 in words is "one hundred thirty-two million, one hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1694 1936 2437 2464 3388 3872 4874 4928 6776 7744 9748 13552 17059 19496 26807 27104 34118 38992 53614 54208 68236 77984 107228 136472 155968 187649 214456 272944 294877 375298 428912 545888 589754 750596 857824 1091776 1179508 1501192 1715648 2064139 2359016 3002384 4128278 4718032 6004768 8256556 9436064 12009536 16513112 18872128 33026224 66052448 132104896