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2138256 = 243231479
BaseRepresentation
bin1000001010000010010000
311000122010200
420022002100
51021411011
6113455200
724113661
oct10120220
94018120
102138256
11123055a
12871500
1359b353
143d9368
152c3856
hex20a090

2138256 has 60 divisors (see below), whose sum is σ = 6190080. Its totient is φ = 688320.

The previous prime is 2138251. The next prime is 2138263. The reversal of 2138256 is 6528312.

It is not an unprimeable number, because it can be changed into a prime (2138251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4225 + ... + 4703.

It is an arithmetic number, because the mean of its divisors is an integer number (103168).

22138256 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 2138256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095040).

2138256 is an abundant number, since it is smaller than the sum of its proper divisors (4051824).

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

2138256 is a wasteful number, since it uses less digits than its factorization.

2138256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2138256 is about 1462.2776754092. The cubic root of 2138256 is about 128.8308581851.

The spelling of 2138256 in words is "two million, one hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 479 496 558 744 958 1116 1437 1488 1916 2232 2874 3832 4311 4464 5748 7664 8622 11496 14849 17244 22992 29698 34488 44547 59396 68976 89094 118792 133641 178188 237584 267282 356376 534564 712752 1069128 2138256