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15093414 = 23271031163
BaseRepresentation
bin111001100100…
…111010100110
31001101211021100
4321210322212
512330442124
61255300530
7242202060
oct71447246
931354240
1015093414
1185799a6
12507a746
13318601b
14200c730
1514d21c9
hexe64ea6

15093414 has 48 divisors (see below), whose sum is σ = 37769472. Its totient is φ = 4266864.

The previous prime is 15093401. The next prime is 15093461. The reversal of 15093414 is 41439051.

It is a super-2 number, since 2×150934142 = 455622292350792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 12397 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (786864).

Almost surely, 215093414 is an apocalyptic number.

15093414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15093414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884736).

15093414 is an abundant number, since it is smaller than the sum of its proper divisors (22676058).

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

15093414 is a wasteful number, since it uses less digits than its factorization.

15093414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 15093414 is about 3885.0243242482. The cubic root of 15093414 is about 247.1321010929.

The spelling of 15093414 in words is "fifteen million, ninety-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 721 927 1163 1442 1854 2163 2326 3489 4326 6489 6978 8141 10467 12978 16282 20934 24423 48846 73269 119789 146538 239578 359367 718734 838523 1078101 1677046 2156202 2515569 5031138 7546707 15093414