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1940495040 = 263251161253
BaseRepresentation
bin111001110101001…
…1001101011000000
312000020101100202200
41303222121223000
512433231320130
6520315313200
766041635641
oct16352315300
95006340680
101940495040
119063a4710
12461a4b800
1324c041823
14145a096c8
15b555b760
hex73a99ac0

1940495040 has 168 divisors, whose sum is σ = 7281385488. Its totient is φ = 470415360.

The previous prime is 1940495017. The next prime is 1940495041. The reversal of 1940495040 is 405940491.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1940494986 and 1940495004.

It is not an unprimeable number, because it can be changed into a prime (1940495041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054 + ... + 62306.

Almost surely, 21940495040 is an apocalyptic number.

1940495040 is a gapful number since it is divisible by the number (10) 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 1940495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640692744).

1940495040 is an abundant number, since it is smaller than the sum of its proper divisors (5340890448).

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

1940495040 is a wasteful number, since it uses less digits than its factorization.

1940495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61287 (or 61274 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1940495040 is about 44051.0503847525. The cubic root of 1940495040 is about 1247.2997797820.

The spelling of 1940495040 in words is "one billion, nine hundred forty million, four hundred ninety-five thousand, forty".