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107352 = 2333771
BaseRepresentation
bin11010001101011000
312110021000
4122031120
511413402
62145000
7624660
oct321530
9173230
10107352
1173723
1252160
1339b2b
142b1a0
1521c1c
hex1a358

107352 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 30240.

The previous prime is 107351. The next prime is 107357. The reversal of 107352 is 253701.

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 (107351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2107352 is an apocalyptic number.

107352 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 107352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

107352 is an abundant number, since it is smaller than the sum of its proper divisors (238248).

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

107352 is a wasteful number, since it uses less digits than its factorization.

107352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 107352 is about 327.6461505954. The cubic root of 107352 is about 47.5265963703.

The spelling of 107352 in words is "one hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 213 216 252 284 378 426 497 504 568 639 756 852 994 1278 1491 1512 1704 1917 1988 2556 2982 3834 3976 4473 5112 5964 7668 8946 11928 13419 15336 17892 26838 35784 53676 107352