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12653740 = 22511113509
BaseRepresentation
bin110000010001…
…010010101100
3212210212200001
4300101102230
511214404430
61131114044
7212361241
oct60212254
925725601
1012653740
117162a40
1242a2924
132810728
1419755c8
15119e3ca
hexc114ac

12653740 has 48 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 4551680.

The previous prime is 12653737. The next prime is 12653759. The reversal of 12653740 is 4735621.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12653699 and 12653708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24606 + ... + 25114.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 212653740 is an apocalyptic number.

12653740 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 12653740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

12653740 is an abundant number, since it is smaller than the sum of its proper divisors (16648820).

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

12653740 is a wasteful number, since it uses less digits than its factorization.

12653740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 12653740 is about 3557.2095805561. The cubic root of 12653740 is about 233.0270311925.

It can be divided in two parts, 1265 and 3740, that added together give a palindrome (5005).

The spelling of 12653740 in words is "twelve million, six hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 509 565 1018 1130 1243 2036 2260 2486 2545 4972 5090 5599 6215 10180 11198 12430 22396 24860 27995 55990 57517 111980 115034 230068 287585 575170 632687 1150340 1265374 2530748 3163435 6326870 12653740