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132103152 = 243231101293
BaseRepresentation
bin1111101111110…
…11101111110000
3100012120112110100
413313323233300
5232304300102
621035232400
73162600246
oct767735760
9305515410
10132103152
1168629065
12382a8700
13214a3b5c
141378a796
15b8e6a1c
hex7dfbbf0

132103152 has 120 divisors (see below), whose sum is σ = 386725248. Its totient is φ = 42048000.

The previous prime is 132103129. The next prime is 132103157. The reversal of 132103152 is 251301231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450718 + ... + 451010.

Almost surely, 2132103152 is an apocalyptic number.

132103152 is a gapful number since it is divisible by the number (12) 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 132103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193362624).

132103152 is an abundant number, since it is smaller than the sum of its proper divisors (254622096).

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

132103152 is a wasteful number, since it uses less digits than its factorization.

132103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132103152 is about 11493.6135310006. The cubic root of 132103152 is about 509.2969320281.

Adding to 132103152 its reverse (251301231), we get a palindrome (383404383).

The spelling of 132103152 in words is "one hundred thirty-two million, one hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 101 124 144 186 202 248 279 293 303 372 404 496 558 586 606 744 808 879 909 1116 1172 1212 1488 1616 1758 1818 2232 2344 2424 2637 3131 3516 3636 4464 4688 4848 5274 6262 7032 7272 9083 9393 10548 12524 14064 14544 18166 18786 21096 25048 27249 28179 29593 36332 37572 42192 50096 54498 56358 59186 72664 75144 81747 88779 108996 112716 118372 145328 150288 163494 177558 217992 225432 236744 266337 326988 355116 435984 450864 473488 532674 653976 710232 917383 1065348 1307952 1420464 1834766 2130696 2752149 3669532 4261392 5504298 7339064 8256447 11008596 14678128 16512894 22017192 33025788 44034384 66051576 132103152