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13706352 = 24321117509
BaseRepresentation
bin110100010010…
…010001110000
3221210100120200
4310102101300
512002100402
61205435200
7224334132
oct64222160
927710520
1013706352
117811870
12470bb00
132abb88a
141b6b052
15130b21c
hexd12470

13706352 has 120 divisors (see below), whose sum is σ = 44394480. Its totient is φ = 3901440.

The previous prime is 13706347. The next prime is 13706359. The reversal of 13706352 is 25360731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13706359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26674 + ... + 27182.

It is an arithmetic number, because the mean of its divisors is an integer number (369954).

Almost surely, 213706352 is an apocalyptic number.

13706352 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 13706352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197240).

13706352 is an abundant number, since it is smaller than the sum of its proper divisors (30688128).

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

13706352 is a wasteful number, since it uses less digits than its factorization.

13706352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13706352 is about 3702.2090702714. The cubic root of 13706352 is about 239.3172260911.

The spelling of 13706352 in words is "thirteen million, seven hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 509 528 561 612 748 792 816 1018 1122 1224 1496 1527 1584 1683 2036 2244 2448 2992 3054 3366 4072 4488 4581 5599 6108 6732 8144 8653 8976 9162 11198 12216 13464 16797 17306 18324 22396 24432 25959 26928 33594 34612 36648 44792 50391 51918 67188 69224 73296 77877 89584 95183 100782 103836 134376 138448 155754 190366 201564 207672 268752 285549 311508 380732 403128 415344 571098 623016 761464 806256 856647 1142196 1246032 1522928 1713294 2284392 3426588 4568784 6853176 13706352