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1940688 = 243213477
BaseRepresentation
bin111011001110011010000
310122121010100
413121303100
5444100223
6105332400
722331661
oct7316320
93577110
101940688
111106082
12797100
1352c449
14387368
15285043
hex1d9cd0

1940688 has 30 divisors (see below), whose sum is σ = 5431634. Its totient is φ = 646848.

The previous prime is 1940683. The next prime is 1940699. The reversal of 1940688 is 8860491.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 166464 = 1332^2 + 408^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6595 + ... + 6882.

21940688 is an apocalyptic number.

1940688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1940688 is an abundant number, since it is smaller than the sum of its proper divisors (3490946).

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

1940688 is a wasteful number, since it uses less digits than its factorization.

1940688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13491 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1940688 is about 1393.0857834319. The cubic root of 1940688 is about 124.7341121636.

It can be divided in two parts, 1940 and 688, that added together give a triangular number (2628 = T72).

The spelling of 1940688 in words is "one million, nine hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13477 26954 40431 53908 80862 107816 121293 161724 215632 242586 323448 485172 646896 970344 1940688