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116352 = 2732101
BaseRepresentation
bin11100011010000000
312220121100
4130122000
512210402
62254400
7663135
oct343200
9186540
10116352
117a465
1257400
1340c62
143058c
152471c
hex1c680

116352 has 48 divisors (see below), whose sum is σ = 338130. Its totient is φ = 38400.

The previous prime is 116351. The next prime is 116359. The reversal of 116352 is 253611.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 46656 = 264^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (116351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1102 + ... + 1202.

2116352 is an apocalyptic number.

116352 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 116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169065).

116352 is an abundant number, since it is smaller than the sum of its proper divisors (221778).

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

116352 is a wasteful number, since it uses less digits than its factorization.

116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

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

The square root of 116352 is about 341.1040896852. The cubic root of 116352 is about 48.8192703613.

Adding to 116352 its reverse (253611), we get a palindrome (369963).

The spelling of 116352 in words is "one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 288 303 384 404 576 606 808 909 1152 1212 1616 1818 2424 3232 3636 4848 6464 7272 9696 12928 14544 19392 29088 38784 58176 116352