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2135868 = 223747541
BaseRepresentation
bin1000001001011100111100
311000111212020
420021130330
51021321433
6113440140
724104010
oct10113474
94014766
102135868
111229789
12870050
1359a237
143d8540
152c2cb3
hex20973c

2135868 has 48 divisors (see below), whose sum is σ = 5827584. Its totient is φ = 596160.

The previous prime is 2135857. The next prime is 2135891. The reversal of 2135868 is 8685312.

It is a happy number.

It is a super-2 number, since 2×21358682 = 9123864226848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 3678 + ... + 4218.

It is an arithmetic number, because the mean of its divisors is an integer number (121408).

22135868 is an apocalyptic number.

2135868 is a gapful number since it is divisible by the number (28) 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 2135868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913792).

2135868 is an abundant number, since it is smaller than the sum of its proper divisors (3691716).

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

2135868 is a wasteful number, since it uses less digits than its factorization.

2135868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2135868 is about 1461.4609129224. The cubic root of 2135868 is about 128.7828809726.

It can be divided in two parts, 2135 and 868, that added together give a palindrome (3003).

The spelling of 2135868 in words is "two million, one hundred thirty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 541 564 658 987 1082 1316 1623 1974 2164 3246 3787 3948 6492 7574 11361 15148 22722 25427 45444 50854 76281 101708 152562 177989 305124 355978 533967 711956 1067934 2135868