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13608192 = 283132947
BaseRepresentation
bin110011111010…
…010100000000
3221121100221010
4303322110000
511440430232
61203400520
7223445013
oct63722400
927540833
1013608192
117755044
124683140
132a85cb0
141b4337a
1512dc0cc
hexcfa500

13608192 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3956736.

The previous prime is 13608181. The next prime is 13608209. The reversal of 13608192 is 29180631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289513 + ... + 289559.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 213608192 is an apocalyptic number.

13608192 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 13608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

13608192 is an abundant number, since it is smaller than the sum of its proper divisors (27598848).

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

13608192 is a wasteful number, since it uses less digits than its factorization.

13608192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13608192 is about 3688.9282996556. The cubic root of 13608192 is about 238.7445553065.

The spelling of 13608192 in words is "thirteen million, six hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 47 48 52 58 64 78 87 94 96 104 116 128 141 156 174 188 192 208 232 256 282 312 348 376 377 384 416 464 564 611 624 696 752 754 768 832 928 1128 1131 1222 1248 1363 1392 1504 1508 1664 1833 1856 2256 2262 2444 2496 2726 2784 3008 3016 3328 3666 3712 4089 4512 4524 4888 4992 5452 5568 6016 6032 7332 7424 8178 9024 9048 9776 9984 10904 11136 12032 12064 14664 16356 17719 18048 18096 19552 21808 22272 24128 29328 32712 35438 36096 36192 39104 43616 48256 53157 58656 65424 70876 72384 78208 87232 96512 106314 117312 130848 141752 144768 156416 174464 212628 234624 261696 283504 289536 348928 425256 469248 523392 567008 850512 1046784 1134016 1701024 2268032 3402048 4536064 6804096 13608192