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2082264 = 233531637
BaseRepresentation
bin111111100010111011000
310220210022220
413330113120
51013113024
6112344040
723461512
oct7742730
93823286
102082264
1111a2488
12845020
1357ba12
143c2bb2
152b1e79
hex1fc5d8

2082264 has 32 divisors (see below), whose sum is σ = 5307120. Its totient is φ = 680576.

The previous prime is 2082257. The next prime is 2082281. The reversal of 2082264 is 4622802.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454 + ... + 2090.

22082264 is an apocalyptic number.

2082264 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 2082264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653560).

2082264 is an abundant number, since it is smaller than the sum of its proper divisors (3224856).

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

2082264 is a wasteful number, since it uses less digits than its factorization.

2082264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1695 counting only the distinct ones).

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

The square root of 2082264 is about 1443.0051974958. The cubic root of 2082264 is about 127.6963832533.

It can be divided in two parts, 2082 and 264, that added together give a triangular number (2346 = T68).

The spelling of 2082264 in words is "two million, eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1637 3274 4911 6548 9822 13096 19644 39288 86761 173522 260283 347044 520566 694088 1041132 2082264