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1940224 = 28111353
BaseRepresentation
bin111011001101100000000
310122120111011
413121230000
5444041344
6105330304
722330426
oct7315400
93576434
101940224
1111057a0
12796994
1352c180
14387116
15284d34
hex1d9b00

1940224 has 72 divisors (see below), whose sum is σ = 4635792. Its totient is φ = 798720.

The previous prime is 1940221. The next prime is 1940233. The reversal of 1940224 is 4220491.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1940195 and 1940204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36582 + ... + 36634.

It is an arithmetic number, because the mean of its divisors is an integer number (64386).

21940224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317896).

1940224 is an abundant number, since it is smaller than the sum of its proper divisors (2695568).

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

1940224 is a wasteful number, since it uses less digits than its factorization.

1940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1940224 is about 1392.9192367112. The cubic root of 1940224 is about 124.7241704589.

The spelling of 1940224 in words is "one million, nine hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 64 88 104 106 128 143 176 208 212 256 286 352 416 424 572 583 689 704 832 848 1144 1166 1378 1408 1664 1696 2288 2332 2756 2816 3328 3392 4576 4664 5512 6784 7579 9152 9328 11024 13568 15158 18304 18656 22048 30316 36608 37312 44096 60632 74624 88192 121264 149248 176384 242528 485056 970112 1940224