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12940720 = 2451323541
BaseRepresentation
bin110001010111…
…010110110000
3220100110022221
4301113112300
511303100340
61141210424
7214665022
oct61272660
926313287
1012940720
117339611
124400a14
1328b1240
141a0c012
15120944a
hexc575b0

12940720 has 80 divisors (see below), whose sum is σ = 33872832. Its totient is φ = 4561920.

The previous prime is 12940717. The next prime is 12940727. The reversal of 12940720 is 2704921.

12940720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12940727) 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, 23650 + ... + 24190.

Almost surely, 212940720 is an apocalyptic number.

12940720 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 12940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936416).

12940720 is an abundant number, since it is smaller than the sum of its proper divisors (20932112).

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

12940720 is a wasteful number, since it uses less digits than its factorization.

12940720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 12940720 is about 3597.3212255788. The cubic root of 12940720 is about 234.7755212667.

The spelling of 12940720 in words is "twelve million, nine hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 541 598 920 1040 1082 1196 1495 1840 2164 2392 2705 2990 4328 4784 5410 5980 7033 8656 10820 11960 12443 14066 21640 23920 24886 28132 35165 43280 49772 56264 62215 70330 99544 112528 124430 140660 161759 199088 248860 281320 323518 497720 562640 647036 808795 995440 1294072 1617590 2588144 3235180 6470360 12940720