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132250104 = 23337471861
BaseRepresentation
bin1111110000111…
…11100111111000
3100012212000001000
413320133213320
5232324000404
621042325000
73164051550
oct770374770
9305760030
10132250104
1168719508
1238359760
13215259cc
14137c8160
15b925339
hex7e1f9f8

132250104 has 128 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 36961920.

The previous prime is 132250087. The next prime is 132250109. The reversal of 132250104 is 401052231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132250109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70134 + ... + 71994.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2132250104 is an apocalyptic number.

132250104 is a gapful number since it is divisible by the number (14) 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 132250104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

132250104 is an abundant number, since it is smaller than the sum of its proper divisors (296754696).

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

132250104 is a wasteful number, since it uses less digits than its factorization.

132250104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132250104 is about 11500.0045217382. The cubic root of 132250104 is about 509.4857099318.

The spelling of 132250104 in words is "one hundred thirty-two million, two hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1861 1974 2538 2632 2961 3384 3722 3948 5076 5583 5922 7444 7896 8883 10152 11166 11844 13027 14888 16749 17766 22332 23688 26054 33498 35532 39081 44664 50247 52108 66996 71064 78162 87467 100494 104216 117243 133992 156324 174934 200988 234486 262401 312648 349868 351729 401976 468972 524802 612269 699736 703458 787203 937944 1049604 1224538 1406916 1574406 1836807 2099208 2361609 2449076 2813832 3148812 3673614 4723218 4898152 5510421 6297624 7347228 9446436 11020842 14694456 16531263 18892872 22041684 33062526 44083368 66125052 132250104