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14642380 = 2253747421
BaseRepresentation
bin110111110110…
…110011001100
31000112220120101
4313312303030
512222024010
61241500444
7235313104
oct67666314
930486511
1014642380
1182a1045
124aa1724
13305893c
141d32204
15144373a
hexdf6ccc

14642380 has 48 divisors (see below), whose sum is σ = 32328576. Its totient is φ = 5564160.

The previous prime is 14642351. The next prime is 14642387. The reversal of 14642380 is 8324641.

It is not an unprimeable number, because it can be changed into a prime (14642387) 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, 34570 + ... + 34990.

It is an arithmetic number, because the mean of its divisors is an integer number (673512).

Almost surely, 214642380 is an apocalyptic number.

14642380 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 14642380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164288).

14642380 is an abundant number, since it is smaller than the sum of its proper divisors (17686196).

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

14642380 is a wasteful number, since it uses less digits than its factorization.

14642380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 14642380 is about 3826.5362927849. The cubic root of 14642380 is about 244.6454959033.

It can be divided in two parts, 1464 and 2380, that added together give a square (3844 = 622).

The spelling of 14642380 in words is "fourteen million, six hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 421 470 740 842 940 1684 1739 2105 3478 4210 6956 8420 8695 15577 17390 19787 31154 34780 39574 62308 77885 79148 98935 155770 197870 311540 395740 732119 1464238 2928476 3660595 7321190 14642380