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14404152 = 2337831033
BaseRepresentation
bin110110111100…
…101000111000
31000002210210010
4312330220320
512141413102
61232421520
7233301420
oct66745070
930083703
1014404152
118149064
1249a78a0
132ca4389
141cad480
1513e7d6c
hexdbca38

14404152 has 64 divisors (see below), whose sum is σ = 41690880. Its totient is φ = 4061952.

The previous prime is 14404123. The next prime is 14404189. The reversal of 14404152 is 25140441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13428 + ... + 14460.

It is an arithmetic number, because the mean of its divisors is an integer number (651420).

Almost surely, 214404152 is an apocalyptic number.

14404152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

14404152 is the 3099-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14404152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845440).

14404152 is an abundant number, since it is smaller than the sum of its proper divisors (27286728).

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

14404152 is a wasteful number, since it uses less digits than its factorization.

14404152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 14404152 is about 3795.2802268080. The cubic root of 14404152 is about 243.3114602636.

Adding to 14404152 its reverse (25140441), we get a palindrome (39544593).

The spelling of 14404152 in words is "fourteen million, four hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1033 1162 1743 1992 2066 2324 3099 3486 4132 4648 6198 6972 7231 8264 12396 13944 14462 21693 24792 28924 43386 57848 85739 86772 171478 173544 257217 342956 514434 600173 685912 1028868 1200346 1800519 2057736 2400692 3601038 4801384 7202076 14404152