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13929280 = 265192979
BaseRepresentation
bin110101001000…
…101101000000
3222012200101021
4311020231000
512031214110
61214315224
7226253101
oct65105500
928180337
1013929280
117954302
1247b8b14
132b691a1
141bc83a8
1513522da
hexd48b40

13929280 has 112 divisors (see below), whose sum is σ = 36576000. Its totient is φ = 5031936.

The previous prime is 13929271. The next prime is 13929281. The reversal of 13929280 is 8292931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13929281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176281 + ... + 176359.

Almost surely, 213929280 is an apocalyptic number.

13929280 is a gapful number since it is divisible by the number (10) 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 13929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000).

13929280 is an abundant number, since it is smaller than the sum of its proper divisors (22646720).

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

13929280 is a wasteful number, since it uses less digits than its factorization.

13929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 13929280 is about 3732.1950645699. The cubic root of 13929280 is about 240.6077191165.

The spelling of 13929280 in words is "thirteen million, nine hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 79 80 95 116 145 152 158 160 190 232 290 304 316 320 380 395 464 551 580 608 632 760 790 928 1102 1160 1216 1264 1501 1520 1580 1856 2204 2291 2320 2528 2755 3002 3040 3160 4408 4582 4640 5056 5510 6004 6080 6320 7505 8816 9164 9280 11020 11455 12008 12640 15010 17632 18328 22040 22910 24016 25280 30020 35264 36656 43529 44080 45820 48032 60040 73312 87058 88160 91640 96064 120080 146624 174116 176320 183280 217645 240160 348232 366560 435290 480320 696464 733120 870580 1392928 1741160 2785856 3482320 6964640 13929280