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2621268 = 2233131867
BaseRepresentation
bin1001111111111101010100
311221011201000
421333331110
51132340033
6132103300
731165116
oct11777524
94834630
102621268
111530441
12a64b30
1370a160
144c33b6
1536ba13
hex27ff54

2621268 has 48 divisors (see below), whose sum is σ = 7322560. Its totient is φ = 806112.

The previous prime is 2621263. The next prime is 2621279. The reversal of 2621268 is 8621262.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621263) 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, 471 + ... + 2337.

22621268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2621268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661280).

2621268 is an abundant number, since it is smaller than the sum of its proper divisors (4701292).

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

2621268 is a wasteful number, since it uses less digits than its factorization.

2621268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2621268 is about 1619.0330447523. The cubic root of 2621268 is about 137.8808044486.

The spelling of 2621268 in words is "two million, six hundred twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1867 3734 5601 7468 11202 16803 22404 24271 33606 48542 50409 67212 72813 97084 100818 145626 201636 218439 291252 436878 655317 873756 1310634 2621268