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103242256 = 24136179103
BaseRepresentation
bin1100010011101…
…01101000010000
321012021020202021
412021311220100
5202412223011
614124501224
72362354555
oct611655020
9235236667
10103242256
1153306487
122a6aa814
131850a4c0
14d9d6a2c
1590e5471
hex6275a10

103242256 has 80 divisors (see below), whose sum is σ = 223874560. Its totient is φ = 45826560.

The previous prime is 103242229. The next prime is 103242281. The reversal of 103242256 is 652242301.

It is a self number, because there is not a number n which added to its sum of digits gives 103242256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002301 + ... + 1002403.

It is an arithmetic number, because the mean of its divisors is an integer number (2798432).

Almost surely, 2103242256 is an apocalyptic number.

103242256 is a gapful number since it is divisible by the number (16) 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 103242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111937280).

103242256 is an abundant number, since it is smaller than the sum of its proper divisors (120632304).

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

103242256 is a wasteful number, since it uses less digits than its factorization.

103242256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 103242256 is about 10160.8196519769. The cubic root of 103242256 is about 469.1220307931.

Adding to 103242256 its reverse (652242301), we get a palindrome (755484557).

The spelling of 103242256 in words is "one hundred three million, two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 61 79 103 104 122 158 206 208 244 316 412 488 632 793 824 976 1027 1264 1339 1586 1648 2054 2678 3172 4108 4819 5356 6283 6344 8137 8216 9638 10712 12566 12688 16274 16432 19276 21424 25132 32548 38552 50264 62647 65096 77104 81679 100528 105781 125294 130192 163358 211562 250588 326716 423124 496357 501176 653432 846248 992714 1002352 1306864 1692496 1985428 3970856 6452641 7941712 12905282 25810564 51621128 103242256