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2674840 = 235741233
BaseRepresentation
bin1010001101000010011000
312000220012011
422031002120
51141043330
6133155304
731510240
oct12150230
95026164
102674840
111567713
12a8bb34
1372865c
144d8b20
1537c82a
hex28d098

2674840 has 64 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 890880.

The previous prime is 2674829. The next prime is 2674843. The reversal of 2674840 is 484762.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674843) 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, 11364 + ... + 11596.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

22674840 is an apocalyptic number.

2674840 is a gapful number since it is divisible by the number (20) 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 2674840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2674840 is an abundant number, since it is smaller than the sum of its proper divisors (4401320).

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

2674840 is a wasteful number, since it uses less digits than its factorization.

2674840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2674840 is about 1635.4938092209. The cubic root of 2674840 is about 138.8137871900.

The spelling of 2674840 in words is "two million, six hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 233 280 287 328 410 466 574 820 932 1148 1165 1435 1631 1640 1864 2296 2330 2870 3262 4660 5740 6524 8155 9320 9553 11480 13048 16310 19106 32620 38212 47765 65240 66871 76424 95530 133742 191060 267484 334355 382120 534968 668710 1337420 2674840