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2074896 = 24341601
BaseRepresentation
bin111111010100100010000
310220102020000
413322210100
51012344041
6112250000
723431155
oct7724420
93812200
102074896
11119799a
12840900
13578565
143c022c
152aebb6
hex1fa910

2074896 has 50 divisors (see below), whose sum is σ = 6009102. Its totient is φ = 691200.

The previous prime is 2074889. The next prime is 2074903. The reversal of 2074896 is 6984702.

It is an interprime number because it is at equal distance from previous prime (2074889) and next prime (2074903).

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1296 = 1440^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2074896.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 496 + ... + 2096.

22074896 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 2074896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004551).

2074896 is an abundant number, since it is smaller than the sum of its proper divisors (3934206).

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

2074896 is a wasteful number, since it uses less digits than its factorization.

2074896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2074896 is about 1440.4499297095. The cubic root of 2074896 is about 127.5455892334.

The spelling of 2074896 in words is "two million, seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1601 3202 4803 6404 9606 12808 14409 19212 25616 28818 38424 43227 57636 76848 86454 115272 129681 172908 230544 259362 345816 518724 691632 1037448 2074896