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2023840 = 255713139
BaseRepresentation
bin111101110000110100000
310210211012001
413232012200
51004230330
6111213344
723126260
oct7560640
93724161
102023840
1111625a5
12817254
1355b250
143a97a0
1529e9ca
hex1ee1a0

2023840 has 96 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 635904.

The previous prime is 2023837. The next prime is 2023841. The reversal of 2023840 is 483202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2023841) 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, 14491 + ... + 14629.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

22023840 is an apocalyptic number.

2023840 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 2023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2023840 is an abundant number, since it is smaller than the sum of its proper divisors (3903200).

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

2023840 is a wasteful number, since it uses less digits than its factorization.

2023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2023840 is about 1422.6173062352. The cubic root of 2023840 is about 126.4907376034.

The spelling of 2023840 in words is "two million, twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 139 140 160 182 208 224 260 278 280 364 416 455 520 556 560 695 728 910 973 1040 1112 1120 1390 1456 1807 1820 1946 2080 2224 2780 2912 3614 3640 3892 4448 4865 5560 7228 7280 7784 9035 9730 11120 12649 14456 14560 15568 18070 19460 22240 25298 28912 31136 36140 38920 50596 57824 63245 72280 77840 101192 126490 144560 155680 202384 252980 289120 404768 505960 1011920 2023840