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13973740 = 22511193343
BaseRepresentation
bin110101010011…
…100011101100
3222021221100221
4311103203230
512034124430
61215301124
7226526524
oct65234354
928257327
1013973740
117984750
12481a7a4
132b834b1
141bda684
15136057a
hexd538ec

13973740 has 48 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 4812480.

The previous prime is 13973731. The next prime is 13973749. The reversal of 13973740 is 4737931.

It is an interprime number because it is at equal distance from previous prime (13973731) and next prime (13973749).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13973696 and 13973705.

It is not an unprimeable number, because it can be changed into a prime (13973749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2509 + ... + 5851.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 213973740 is an apocalyptic number.

13973740 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 13973740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

13973740 is an abundant number, since it is smaller than the sum of its proper divisors (19733780).

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

13973740 is a wasteful number, since it uses less digits than its factorization.

13973740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 13973740 is about 3738.1465995865. The cubic root of 13973740 is about 240.8634408254.

The spelling of 13973740 in words is "thirteen million, nine hundred seventy-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 3343 4180 6686 13372 16715 33430 36773 63517 66860 73546 127034 147092 183865 254068 317585 367730 635170 698687 735460 1270340 1397374 2794748 3493435 6986870 13973740