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2864040 = 233529823
BaseRepresentation
bin1010111011001110101000
312101111201120
422323032220
51213122130
6141215240
733225654
oct12731650
95344646
102864040
111686883
12b61520
137937ca
14547a64
153b8910
hex2bb3a8

2864040 has 64 divisors (see below), whose sum is σ = 8899200. Its totient is φ = 736512.

The previous prime is 2864033. The next prime is 2864051. The reversal of 2864040 is 404682.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2864040.

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, 3069 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (139050).

22864040 is an apocalyptic number.

2864040 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 2864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449600).

2864040 is an abundant number, since it is smaller than the sum of its proper divisors (6035160).

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

2864040 is a wasteful number, since it uses less digits than its factorization.

2864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2864040 is about 1692.3474820497. The cubic root of 2864040 is about 142.0124303077.

It can be divided in two parts, 28640 and 40, that added together give a triangular number (28680 = T239).

The spelling of 2864040 in words is "two million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 823 870 1160 1646 1740 2469 3292 3480 4115 4938 6584 8230 9876 12345 16460 19752 23867 24690 32920 47734 49380 71601 95468 98760 119335 143202 190936 238670 286404 358005 477340 572808 716010 954680 1432020 2864040