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1042041300 = 2235213924989
BaseRepresentation
bin111110000111000…
…100100111010100
32200121210011221020
4332013010213110
54113230310200
6251222321140
734552130166
oct7607044724
92617704836
101042041300
11495229063
12250b891b0
13137b69bb1
149c572936
1561737ea0
hex3e1c49d4

1042041300 has 72 divisors (see below), whose sum is σ = 3036784800. Its totient is φ = 275867520.

The previous prime is 1042041271. The next prime is 1042041307. The reversal of 1042041300 is 31402401.

1042041300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1042041300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042041307) 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, 29206 + ... + 54194.

Almost surely, 21042041300 is an apocalyptic number.

1042041300 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 1042041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518392400).

1042041300 is an abundant number, since it is smaller than the sum of its proper divisors (1994743500).

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

1042041300 is a wasteful number, since it uses less digits than its factorization.

1042041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25145 (or 25138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1042041300 is about 32280.6644913019. The cubic root of 1042041300 is about 1013.8218431288.

Adding to 1042041300 its reverse (31402401), we get a palindrome (1073443701).

The spelling of 1042041300 in words is "one billion, forty-two million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 10425 13900 20850 24989 41700 49978 74967 99956 124945 149934 249890 299868 374835 499780 624725 749670 1249450 1499340 1874175 2498900 3473471 3748350 6946942 7496700 10420413 13893884 17367355 20840826 34734710 41681652 52102065 69469420 86836775 104204130 173673550 208408260 260510325 347347100 521020650 1042041300