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14369152 = 27722979
BaseRepresentation
bin110110110100…
…000110000000
31000001000202211
4312310012000
512134303102
61231551504
7233064400
oct66640600
930030684
1014369152
118124836
12498b594
132c91475
141ca0800
1513dc7d7
hexdb4180

14369152 has 96 divisors (see below), whose sum is σ = 34884000. Its totient is φ = 5870592.

The previous prime is 14369141. The next prime is 14369153. The reversal of 14369152 is 25196341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14369153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181849 + ... + 181927.

It is an arithmetic number, because the mean of its divisors is an integer number (363375).

Almost surely, 214369152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442000).

14369152 is an abundant number, since it is smaller than the sum of its proper divisors (20514848).

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

14369152 is an equidigital number, since it uses as much as digits as its factorization.

14369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 14369152 is about 3790.6664321726. Note that the first 3 decimals coincide. The cubic root of 14369152 is about 243.1142299117.

The spelling of 14369152 in words is "fourteen million, three hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 79 98 112 116 128 158 196 203 224 232 316 392 406 448 464 553 632 784 812 896 928 1106 1264 1421 1568 1624 1856 2212 2291 2528 2842 3136 3248 3712 3871 4424 4582 5056 5684 6272 6496 7742 8848 9164 10112 11368 12992 15484 16037 17696 18328 22736 25984 30968 32074 35392 36656 45472 61936 64148 70784 73312 90944 112259 123872 128296 146624 181888 224518 247744 256592 293248 449036 495488 513184 898072 1026368 1796144 2052736 3592288 7184576 14369152