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2107314 = 2321129367
BaseRepresentation
bin1000000010011110110010
310222001200200
420002132302
51014413224
6113100030
723624526
oct10023662
93861620
102107314
11120a290
12857616
1358a241
143cbd86
152b95c9
hex2027b2

2107314 has 48 divisors (see below), whose sum is σ = 5166720. Its totient is φ = 614880.

The previous prime is 2107289. The next prime is 2107319. The reversal of 2107314 is 4137012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5559 + ... + 5925.

It is an arithmetic number, because the mean of its divisors is an integer number (107640).

22107314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583360).

2107314 is an abundant number, since it is smaller than the sum of its proper divisors (3059406).

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

2107314 is a wasteful number, since it uses less digits than its factorization.

2107314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2107314 is about 1451.6590508794. The cubic root of 2107314 is about 128.2064133772.

The spelling of 2107314 in words is "two million, one hundred seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 367 522 638 734 957 1101 1914 2202 2871 3303 4037 5742 6606 8074 10643 12111 21286 24222 31929 36333 63858 72666 95787 117073 191574 234146 351219 702438 1053657 2107314