Search a number
-
+
12902280 = 2335791361
BaseRepresentation
bin110001001101…
…111110001000
3220021111121020
4301031332020
511300333110
61140312440
7214444656
oct61157610
926244536
1012902280
117312746
1243a2720
1328998b1
1419dbdd6
1511ecd70
hexc4df88

12902280 has 64 divisors (see below), whose sum is σ = 39225600. Its totient is φ = 3394560.

The previous prime is 12902251. The next prime is 12902317. The reversal of 12902280 is 8220921.

12902280 is digitally balanced in base 2, because in such base 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12902280.

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, 8800 + ... + 10160.

It is an arithmetic number, because the mean of its divisors is an integer number (612900).

Almost surely, 212902280 is an apocalyptic number.

12902280 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 12902280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612800).

12902280 is an abundant number, since it is smaller than the sum of its proper divisors (26323320).

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

12902280 is a wasteful number, since it uses less digits than its factorization.

12902280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12902280 is about 3591.9743874365. The cubic root of 12902280 is about 234.5428262867.

It can be divided in two parts, 1290 and 2280, that added together give a triangular number (3570 = T84).

The spelling of 12902280 in words is "twelve million, nine hundred two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1361 1580 1896 2370 2722 3160 4083 4740 5444 6805 8166 9480 10888 13610 16332 20415 27220 32664 40830 54440 81660 107519 163320 215038 322557 430076 537595 645114 860152 1075190 1290228 1612785 2150380 2580456 3225570 4300760 6451140 12902280