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12400740 = 22325116263
BaseRepresentation
bin101111010011…
…100001100100
3212100000121200
4233103201210
511133310430
61121442500
7210255522
oct57234144
925300550
1012400740
116aaa950
1241a0430
132752521
14190b312
15114e460
hexbd3864

12400740 has 72 divisors (see below), whose sum is σ = 41041728. Its totient is φ = 3005760.

The previous prime is 12400721. The next prime is 12400741. The reversal of 12400740 is 4700421.

It is a happy number.

12400740 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12400741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (570024).

Almost surely, 212400740 is an apocalyptic number.

12400740 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 12400740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864).

12400740 is an abundant number, since it is smaller than the sum of its proper divisors (28640988).

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

12400740 is a wasteful number, since it uses less digits than its factorization.

12400740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12400740 is about 3521.4684437036. The cubic root of 12400740 is about 231.4635096511.

The spelling of 12400740 in words is "twelve million, four hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6263 12526 18789 25052 31315 37578 56367 62630 68893 75156 93945 112734 125260 137786 187890 206679 225468 275572 281835 344465 375780 413358 563670 620037 688930 826716 1033395 1127340 1240074 1377860 2066790 2480148 3100185 4133580 6200370 12400740