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15414140 = 2257234787
BaseRepresentation
bin111010110011…
…001101111100
31002000010020002
4322303031330
512421223030
61310213432
7245006120
oct72631574
932003202
1015414140
118778965
1251b4278
133268cc1
142093580
151547245
hexeb337c

15414140 has 48 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 5054016.

The previous prime is 15414107. The next prime is 15414143. The reversal of 15414140 is 4141451.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15414143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 215414140 is an apocalyptic number.

15414140 is a gapful number since it is divisible by the number (10) 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 15414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

15414140 is an abundant number, since it is smaller than the sum of its proper divisors (23196292).

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

15414140 is a wasteful number, since it uses less digits than its factorization.

15414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 15414140 is about 3926.0845635315. The cubic root of 15414140 is about 248.8703162811.

Adding to 15414140 its reverse (4141451), we get a palindrome (19555591).

The spelling of 15414140 in words is "fifteen million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 4787 9574 19148 23935 33509 47870 67018 95740 110101 134036 167545 220202 335090 440404 550505 670180 770707 1101010 1541414 2202020 3082828 3853535 7707070 15414140