[go: up one dir, main page]

Search a number
-
+
14197152 = 253413607
BaseRepresentation
bin110110001010…
…000110100000
3222201021211110
4312022012200
512113302102
61224143320
7231450054
oct66120640
928637743
1014197152
118017592
124907b40
132c310a8
141c57c64
1513a686c
hexd8a1a0

14197152 has 48 divisors (see below), whose sum is σ = 38187072. Its totient is φ = 4615680.

The previous prime is 14197151. The next prime is 14197177. The reversal of 14197152 is 25179141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×141971522 = 403118249822208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14197151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2133 + ... + 5739.

It is an arithmetic number, because the mean of its divisors is an integer number (795564).

Almost surely, 214197152 is an apocalyptic number.

14197152 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 14197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19093536).

14197152 is an abundant number, since it is smaller than the sum of its proper divisors (23989920).

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

14197152 is a wasteful number, since it uses less digits than its factorization.

14197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3653 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 14197152 is about 3767.9108269703. The cubic root of 14197152 is about 242.1403006765.

The spelling of 14197152 in words is "fourteen million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3607 3936 7214 10821 14428 21642 28856 43284 57712 86568 115424 147887 173136 295774 346272 443661 591548 887322 1183096 1774644 2366192 3549288 4732384 7098576 14197152