Search a number
-
+
2192640 = 2835571
BaseRepresentation
bin1000010111010100000000
311010101201220
420113110000
51030131030
6114555040
724431352
oct10272400
94111656
102192640
1112683aa
12898a80
135ba028
144110d2
152d4a10
hex217500

2192640 has 72 divisors (see below), whose sum is σ = 7015008. Its totient is φ = 583680.

The previous prime is 2192633. The next prime is 2192651. The reversal of 2192640 is 462912.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2192640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3555 + ... + 4125.

22192640 is an apocalyptic number.

2192640 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 2192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507504).

2192640 is an abundant number, since it is smaller than the sum of its proper divisors (4822368).

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

2192640 is an equidigital number, since it uses as much as digits as its factorization.

2192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2192640 is about 1480.7565633824. The cubic root of 2192640 is about 129.9139469949.

The spelling of 2192640 in words is "two million, one hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 571 640 768 960 1142 1280 1713 1920 2284 2855 3426 3840 4568 5710 6852 8565 9136 11420 13704 17130 18272 22840 27408 34260 36544 45680 54816 68520 73088 91360 109632 137040 146176 182720 219264 274080 365440 438528 548160 730880 1096320 2192640