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1042628300 = 225272951361
BaseRepresentation
bin111110001001010…
…011111011001100
32200122220000010222
4332021103323030
54113403101200
6251243050512
734560123440
oct7611237314
92618800128
101042628300
1149559a08a
12251210a38
1313801412c
149c686820
1561801d85
hex3e253ecc

1042628300 has 72 divisors (see below), whose sum is σ = 2674932960. Its totient is φ = 345139200.

The previous prime is 1042628201. The next prime is 1042628303. The reversal of 1042628300 is 38262401.

It is a self number, because there is not a number n which added to its sum of digits gives 1042628300.

It is not an unprimeable number, because it can be changed into a prime (1042628303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5381 + ... + 45980.

Almost surely, 21042628300 is an apocalyptic number.

1042628300 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 1042628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337466480).

1042628300 is an abundant number, since it is smaller than the sum of its proper divisors (1632304660).

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

1042628300 is a wasteful number, since it uses less digits than its factorization.

1042628300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51411 (or 51404 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1042628300 is about 32289.7553412843. The cubic root of 1042628300 is about 1014.0121752237.

The spelling of 1042628300 in words is "one billion, forty-two million, six hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 51361 102722 205444 256805 359527 513610 719054 1027220 1284025 1438108 1489469 1797635 2568050 2978938 3595270 5136100 5957876 7190540 7447345 8988175 10426283 14894690 17976350 20852566 29789380 35952700 37236725 41705132 52131415 74473450 104262830 148946900 208525660 260657075 521314150 1042628300