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2813064 = 2331931199
BaseRepresentation
bin1010101110110010001000
312021220210120
422232302020
51210004224
6140143240
732624232
oct12566210
95256716
102813064
111651551
12b37b20
13776547
14533252
153a8779
hex2aec88

2813064 has 64 divisors (see below), whose sum is σ = 7680000. Its totient is φ = 855360.

The previous prime is 2813053. The next prime is 2813071. The reversal of 2813064 is 4603182.

It is a happy number.

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

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, 14037 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (120000).

22813064 is an apocalyptic number.

2813064 is a gapful number since it is divisible by the number (24) 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 2813064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840000).

2813064 is an abundant number, since it is smaller than the sum of its proper divisors (4866936).

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

2813064 is a wasteful number, since it uses less digits than its factorization.

2813064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2813064 is about 1677.2191270076. The cubic root of 2813064 is about 141.1648391561.

The spelling of 2813064 in words is "two million, eight hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 199 228 248 372 398 456 589 597 744 796 1178 1194 1592 1767 2356 2388 3534 3781 4712 4776 6169 7068 7562 11343 12338 14136 15124 18507 22686 24676 30248 37014 45372 49352 74028 90744 117211 148056 234422 351633 468844 703266 937688 1406532 2813064