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1041994800 = 2433527211179
BaseRepresentation
bin111110000110111…
…001010000110000
32200121200211011000
4332012321100300
54113222313200
6251221322000
734551544500
oct7606712060
92617624130
101041994800
114951a7130
12250b66300
13137b51992
149c55da00
1561729300
hex3e1b9430

1041994800 has 720 divisors, whose sum is σ = 4732732800. Its totient is φ = 215308800.

The previous prime is 1041994781. The next prime is 1041994801. The reversal of 1041994800 is 84991401.

It is a tau number, because it is divible by the number of its divisors (720).

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

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

It is not an unprimeable number, because it can be changed into a prime (1041994801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5821111 + ... + 5821289.

It is an arithmetic number, because the mean of its divisors is an integer number (6573240).

Almost surely, 21041994800 is an apocalyptic number.

1041994800 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 1041994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366366400).

1041994800 is an abundant number, since it is smaller than the sum of its proper divisors (3690738000).

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

1041994800 is a wasteful number, since it uses less digits than its factorization.

1041994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1041994800 is about 32279.9442378701. The cubic root of 1041994800 is about 1013.8067626590.

The spelling of 1041994800 in words is "one billion, forty-one million, nine hundred ninety-four thousand, eight hundred".