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102134256 = 24371971543
BaseRepresentation
bin1100001011001…
…11000111110000
321010011221212020
412011213013300
5202121244011
614045031440
72350061340
oct605470760
9233157766
10102134256
1152719a84
122a255580
1318210093
14d7c8d20
158e77006
hex61671f0

102134256 has 80 divisors (see below), whose sum is σ = 303266304. Its totient is φ = 29014272.

The previous prime is 102134231. The next prime is 102134261. The reversal of 102134256 is 652431201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65421 + ... + 66963.

Almost surely, 2102134256 is an apocalyptic number.

102134256 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 102134256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151633152).

102134256 is an abundant number, since it is smaller than the sum of its proper divisors (201132048).

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

102134256 is a wasteful number, since it uses less digits than its factorization.

102134256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102134256 is about 10106.1494150839. The cubic root of 102134256 is about 467.4377790928.

Adding to 102134256 its reverse (652431201), we get a palindrome (754565457).

The spelling of 102134256 in words is "one hundred two million, one hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 197 336 394 591 788 1182 1379 1543 1576 2364 2758 3086 3152 4137 4629 4728 5516 6172 8274 9258 9456 10801 11032 12344 16548 18516 21602 22064 24688 32403 33096 37032 43204 64806 66192 74064 86408 129612 172816 259224 303971 518448 607942 911913 1215884 1823826 2127797 2431768 3647652 4255594 4863536 6383391 7295304 8511188 12766782 14590608 17022376 25533564 34044752 51067128 102134256