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103214592 = 2932131723
BaseRepresentation
bin1100010011011…
…10111000000000
321012012211210200
412021232320000
5202410331332
614124125200
72362211115
oct611567000
9235184720
10103214592
1153297718
122a696800
13184caa30
14d9ca90c
1590dc17c
hex626ee00

103214592 has 120 divisors (see below), whose sum is σ = 320984664. Its totient is φ = 31739904.

The previous prime is 103214569. The next prime is 103214603. The reversal of 103214592 is 295412301.

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 11 ways as a sum of consecutive naturals, for example, 59043 + ... + 60765.

Almost surely, 2103214592 is an apocalyptic number.

103214592 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 103214592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160492332).

103214592 is an abundant number, since it is smaller than the sum of its proper divisors (217770072).

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

103214592 is a wasteful number, since it uses less digits than its factorization.

103214592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103214592 is about 10159.4582532732. The cubic root of 103214592 is about 469.0801262743.

Adding to 103214592 its reverse (295412301), we get a palindrome (398626893).

The spelling of 103214592 in words is "one hundred three million, two hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1723 1872 2304 2496 3328 3446 3744 4608 4992 5169 6656 6892 7488 9984 10338 13784 14976 15507 19968 20676 22399 27568 29952 31014 41352 44798 55136 59904 62028 67197 82704 89596 110272 124056 134394 165408 179192 201591 220544 248112 268788 330816 358384 403182 441088 496224 537576 661632 716768 806364 882176 992448 1075152 1323264 1433536 1612728 1984896 2150304 2646528 2867072 3225456 3969792 4300608 5734144 6450912 7939584 8601216 11468288 12901824 17202432 25803648 34404864 51607296 103214592