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132101928 = 2334729123
BaseRepresentation
bin1111101111110…
…11011100101000
3100012120110210000
413313323130220
5232304230203
621035223000
73162563550
oct767733450
9305513700
10132101928
1168628152
12382a7a60
13214a342a
141378a160
15b8e64a3
hex7dfb728

132101928 has 80 divisors (see below), whose sum is σ = 422880480. Its totient is φ = 37742112.

The previous prime is 132101923. The next prime is 132101933. The reversal of 132101928 is 829101231.

It is an interprime number because it is at equal distance from previous prime (132101923) and next prime (132101933).

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

It is not an unprimeable number, because it can be changed into a prime (132101923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10026 + ... + 19097.

It is an arithmetic number, because the mean of its divisors is an integer number (5286006).

Almost surely, 2132101928 is an apocalyptic number.

132101928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132101928 is an abundant number, since it is smaller than the sum of its proper divisors (290778552).

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

132101928 is a wasteful number, since it uses less digits than its factorization.

132101928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29148 (or 29135 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 132101928 is about 11493.5602839155. The cubic root of 132101928 is about 509.2953590619.

The spelling of 132101928 in words is "one hundred thirty-two million, one hundred one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 29123 58246 87369 116492 174738 203861 232984 262107 349476 407722 524214 611583 698952 786321 815444 1048428 1223166 1572642 1630888 1834749 2096856 2358963 2446332 3145284 3669498 4717926 4892664 5504247 6290568 7338996 9435852 11008494 14677992 16512741 18871704 22016988 33025482 44033976 66050964 132101928