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20151348 = 2237243797
BaseRepresentation
bin100110011011…
…1110000110100
31101220210110020
41030313300310
520124320343
61555525140
7333166200
oct114676064
941823406
1020151348
1110414008
1268b97b0
134237299
142967b00
151b80b83
hex1337c34

20151348 has 72 divisors (see below), whose sum is σ = 56038752. Its totient is φ = 5616576.

The previous prime is 20151319. The next prime is 20151349. The reversal of 20151348 is 84315102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20151349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24886 + ... + 25682.

It is an arithmetic number, because the mean of its divisors is an integer number (778316).

Almost surely, 220151348 is an apocalyptic number.

20151348 is a gapful number since it is divisible by the number (28) 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 20151348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28019376).

20151348 is an abundant number, since it is smaller than the sum of its proper divisors (35887404).

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

20151348 is a wasteful number, since it uses less digits than its factorization.

20151348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 20151348 is about 4489.0252839564. The cubic root of 20151348 is about 272.1247445399.

The spelling of 20151348 in words is "twenty million, one hundred fifty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 797 903 1204 1594 1806 2107 2391 3188 3612 4214 4782 5579 6321 8428 9564 11158 12642 16737 22316 25284 33474 34271 39053 66948 68542 78106 102813 117159 137084 156212 205626 234318 239897 411252 468636 479794 719691 959588 1439382 1679279 2878764 3358558 5037837 6717116 10075674 20151348