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14677740 = 22335711353
BaseRepresentation
bin110111111111…
…011011101100
31000121201002000
4313333123230
512224141430
61242332300
7235521150
oct67773354
930551060
1014677740
118315670
124aba090
13306ba6c
141d41060
15144de60
hexdff6ec

14677740 has 192 divisors, whose sum is σ = 57093120. Its totient is φ = 3041280.

The previous prime is 14677739. The next prime is 14677763. The reversal of 14677740 is 4777641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14677695 and 14677704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41404 + ... + 41756.

It is an arithmetic number, because the mean of its divisors is an integer number (297360).

Almost surely, 214677740 is an apocalyptic number.

14677740 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 14677740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546560).

14677740 is an abundant number, since it is smaller than the sum of its proper divisors (42415380).

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

14677740 is a wasteful number, since it uses less digits than its factorization.

14677740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 14677740 is about 3831.1538731823. The cubic root of 14677740 is about 244.8422697097.

Subtracting from 14677740 its reverse (4777641), we obtain a palindrome (9900099).

The spelling of 14677740 in words is "fourteen million, six hundred seventy-seven thousand, seven hundred forty".