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15106064 = 2417193779
BaseRepresentation
bin111001101000…
…000000010000
31001102110121212
4321220000100
512331343224
61255435252
7242254001
oct71500020
931373555
1015106064
118588456
125085b28
13318b9cc
1420131a8
1514d5d0e
hexe68010

15106064 has 80 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 6469632.

The previous prime is 15106061. The next prime is 15106073. The reversal of 15106064 is 46060151.

It is not an unprimeable number, because it can be changed into a prime (15106061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191177 + ... + 191255.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 215106064 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 15106064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

15106064 is an abundant number, since it is smaller than the sum of its proper divisors (18820336).

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

15106064 is a wasteful number, since it uses less digits than its factorization.

15106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 15106064 is about 3886.6520297037. The cubic root of 15106064 is about 247.2011234296.

The spelling of 15106064 in words is "fifteen million, one hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 17 19 34 37 38 68 74 76 79 136 148 152 158 272 296 304 316 323 592 629 632 646 703 1258 1264 1292 1343 1406 1501 2516 2584 2686 2812 2923 3002 5032 5168 5372 5624 5846 6004 10064 10744 11248 11692 11951 12008 21488 23384 23902 24016 25517 46768 47804 49691 51034 55537 95608 99382 102068 111074 191216 198764 204136 222148 397528 408272 444296 795056 888592 944129 1888258 3776516 7553032 15106064