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2107668 = 2233747101
BaseRepresentation
bin1000000010100100010100
310222002011210
420002210110
51014421133
6113101420
723625543
oct10024424
93862153
102107668
11120a582
12857870
1358a454
143cc15a
152b9763
hex202914

2107668 has 48 divisors (see below), whose sum is σ = 5209344. Its totient is φ = 662400.

The previous prime is 2107667. The next prime is 2107669. The reversal of 2107668 is 8667012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2107667) and next prime (2107669).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20818 + ... + 20918.

It is an arithmetic number, because the mean of its divisors is an integer number (108528).

22107668 is an apocalyptic number.

It is an amenable number.

2107668 is an abundant number, since it is smaller than the sum of its proper divisors (3101676).

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

2107668 is a wasteful number, since it uses less digits than its factorization.

2107668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2107668 is about 1451.7809752163. The cubic root of 2107668 is about 128.2135919513.

It can be divided in two parts, 2107 and 668, that added together give a triangular number (2775 = T74).

The spelling of 2107668 in words is "two million, one hundred seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 37 47 74 94 101 111 141 148 188 202 222 282 303 404 444 564 606 1212 1739 3478 3737 4747 5217 6956 7474 9494 10434 11211 14241 14948 18988 20868 22422 28482 44844 56964 175639 351278 526917 702556 1053834 2107668