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2106840 = 233597181
BaseRepresentation
bin1000000010010111011000
310222001001010
420002113120
51014404330
6113053520
723623251
oct10022730
93861033
102106840
11120999a
128572a0
13589c68
143cbb28
152b93b0
hex2025d8

2106840 has 64 divisors (see below), whose sum is σ = 6420960. Its totient is φ = 552960.

The previous prime is 2106833. The next prime is 2106847. The reversal of 2106840 is 486012.

It is an interprime number because it is at equal distance from previous prime (2106833) and next prime (2106847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106847) 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, 11550 + ... + 11730.

22106840 is an apocalyptic number.

2106840 is a gapful number since it is divisible by the number (20) 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 2106840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480).

2106840 is an abundant number, since it is smaller than the sum of its proper divisors (4314120).

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

2106840 is a wasteful number, since it uses less digits than its factorization.

2106840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2106840 is about 1451.4957802212. The cubic root of 2106840 is about 128.1968001291.

The spelling of 2106840 in words is "two million, one hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 181 194 291 362 388 485 543 582 724 776 905 970 1086 1164 1448 1455 1810 1940 2172 2328 2715 2910 3620 3880 4344 5430 5820 7240 10860 11640 17557 21720 35114 52671 70228 87785 105342 140456 175570 210684 263355 351140 421368 526710 702280 1053420 2106840