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2674896 = 243719419
BaseRepresentation
bin1010001101000011010000
312000220021020
422031003100
51141044041
6133155440
731510350
oct12150320
95026236
102674896
111567764
12a8bb80
137286a3
144d8b60
1537c866
hex28d0d0

2674896 has 80 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 722304.

The previous prime is 2674879. The next prime is 2674913. The reversal of 2674896 is 6984762.

It is an interprime number because it is at equal distance from previous prime (2674879) and next prime (2674913).

It is a super-2 number, since 2×26748962 = 14310137221632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 25 + 67 + 75 + 45 + 87 + 9 + 67 .

It is a congruent number.

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, 6175 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

22674896 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 2674896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2674896 is an abundant number, since it is smaller than the sum of its proper divisors (5657904).

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

2674896 is a wasteful number, since it uses less digits than its factorization.

2674896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2674896 is about 1635.5109293429. The cubic root of 2674896 is about 138.8147559106.

It can be divided in two parts, 2674 and 896, that added together give a triangular number (3570 = T84).

The spelling of 2674896 in words is "two million, six hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 419 456 532 798 838 912 1064 1257 1596 1676 2128 2514 2933 3192 3352 5028 5866 6384 6704 7961 8799 10056 11732 15922 17598 20112 23464 23883 31844 35196 46928 47766 55727 63688 70392 95532 111454 127376 140784 167181 191064 222908 334362 382128 445816 668724 891632 1337448 2674896