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2076312 = 233717727
BaseRepresentation
bin111111010111010011000
310220111011110
413322322120
51012420222
6112300320
723435250
oct7727230
93814143
102076312
111198a67
128416a0
135790b4
143c0960
152b030c
hex1fae98

2076312 has 64 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 557568.

The previous prime is 2076307. The next prime is 2076317. The reversal of 2076312 is 2136702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2076307) and next prime (2076317).

It is a super-2 number, since 2×20763122 = 8622143042688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2493 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22076312 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 2076312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2076312 is an abundant number, since it is smaller than the sum of its proper divisors (4213608).

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

2076312 is a wasteful number, since it uses less digits than its factorization.

2076312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2076312 is about 1440.9413589734. The cubic root of 2076312 is about 127.5745968697.

The spelling of 2076312 in words is "two million, seventy-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 727 952 1428 1454 2181 2856 2908 4362 5089 5816 8724 10178 12359 15267 17448 20356 24718 30534 37077 40712 49436 61068 74154 86513 98872 122136 148308 173026 259539 296616 346052 519078 692104 1038156 2076312