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102368 = 257457
BaseRepresentation
bin11000111111100000
312012102102
4120333200
511233433
62105532
7604310
oct307740
9165372
10102368
116aa02
124b2a8
1337796
1429440
15204e8
hex18fe0

102368 has 24 divisors (see below), whose sum is σ = 230832. Its totient is φ = 43776.

The previous prime is 102367. The next prime is 102397. The reversal of 102368 is 863201.

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 (102367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (9618).

2102368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115416).

102368 is an abundant number, since it is smaller than the sum of its proper divisors (128464).

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

102368 is an equidigital number, since it uses as much as digits as its factorization.

102368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102368 is about 319.9499960931. The cubic root of 102368 is about 46.7794099408.

Adding to 102368 its reverse (863201), we get a palindrome (965569).

The spelling of 102368 in words is "one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 457 914 1828 3199 3656 6398 7312 12796 14624 25592 51184 102368