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12723480 = 2335571117
BaseRepresentation
bin110000100010…
…010100011000
3212221102100000
4300202110120
511224122410
61132413000
7213101460
oct60422430
925842300
1012723480
117200380
124317160
1328363b3
141992ba0
1511b4dc0
hexc22518

12723480 has 384 divisors, whose sum is σ = 56609280. Its totient is φ = 2488320.

The previous prime is 12723467. The next prime is 12723481. The reversal of 12723480 is 8432721.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12723481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748432 + ... + 748448.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 212723480 is an apocalyptic number.

12723480 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 12723480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

12723480 is an abundant number, since it is smaller than the sum of its proper divisors (43885800).

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

12723480 is a wasteful number, since it uses less digits than its factorization.

12723480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12723480 is about 3566.9987384354. The cubic root of 12723480 is about 233.4543499232.

It can be divided in two parts, 12723 and 480, that added together give a triangular number (13203 = T162).

The spelling of 12723480 in words is "twelve million, seven hundred twenty-three thousand, four hundred eighty".