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2075240 = 235291789
BaseRepresentation
bin111111010101001101000
310220102200202
413322221220
51012401430
6112251332
723432156
oct7725150
93812622
102075240
111198182
12840b48
1357876b
143c03d6
152aed45
hex1faa68

2075240 has 32 divisors (see below), whose sum is σ = 4833000. Its totient is φ = 801024.

The previous prime is 2075231. The next prime is 2075257. The reversal of 2075240 is 425702.

It can be written as a sum of positive squares in 4 ways, for example, as 2010724 + 64516 = 1418^2 + 254^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266 + ... + 2054.

22075240 is an apocalyptic number.

2075240 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 2075240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416500).

2075240 is an abundant number, since it is smaller than the sum of its proper divisors (2757760).

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

2075240 is a wasteful number, since it uses less digits than its factorization.

2075240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2075240 is about 1440.5693318962. The cubic root of 2075240 is about 127.5526374996.

The spelling of 2075240 in words is "two million, seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1789 3578 7156 8945 14312 17890 35780 51881 71560 103762 207524 259405 415048 518810 1037620 2075240