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2114460 = 2232517691
BaseRepresentation
bin1000000100001110011100
310222102111100
420010032130
51020130320
6113153100
723654415
oct10041634
93872440
102114460
111214697
1285b790
1359057a
143d080c
152bb790
hex20439c

2114460 has 72 divisors (see below), whose sum is σ = 6800976. Its totient is φ = 529920.

The previous prime is 2114449. The next prime is 2114461. The reversal of 2114460 is 644112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114461) 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, 2715 + ... + 3405.

It is an arithmetic number, because the mean of its divisors is an integer number (94458).

22114460 is an apocalyptic number.

2114460 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 2114460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400488).

2114460 is an abundant number, since it is smaller than the sum of its proper divisors (4686516).

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

2114460 is a wasteful number, since it uses less digits than its factorization.

2114460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2114460 is about 1454.1182895487. The cubic root of 2114460 is about 128.3511678518.

Adding to 2114460 its reverse (644112), we get a palindrome (2758572).

The spelling of 2114460 in words is "two million, one hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 691 765 1020 1382 1530 2073 2764 3060 3455 4146 6219 6910 8292 10365 11747 12438 13820 20730 23494 24876 31095 35241 41460 46988 58735 62190 70482 105723 117470 124380 140964 176205 211446 234940 352410 422892 528615 704820 1057230 2114460