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1055104200 = 2332521930851
BaseRepresentation
bin111110111000111…
…001110011001000
32201112100211212100
4332320321303020
54130101313300
6252410313400
735101144353
oct7670716310
92645324770
101055104200
114a1640447
12255428860
1313a791917
14a01b329a
1562968700
hex3ee39cc8

1055104200 has 144 divisors (see below), whose sum is σ = 3730006800. Its totient is φ = 266544000.

The previous prime is 1055104177. The next prime is 1055104241. The reversal of 1055104200 is 24015501.

It is a super-2 number, since 2×10551042002 = 2226489745715280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 18775 + ... + 49625.

It is an arithmetic number, because the mean of its divisors is an integer number (25902825).

Almost surely, 21055104200 is an apocalyptic number.

1055104200 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 1055104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865003400).

1055104200 is an abundant number, since it is smaller than the sum of its proper divisors (2674902600).

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

1055104200 is a wasteful number, since it uses less digits than its factorization.

1055104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892 (or 30880 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1055104200 is about 32482.3675245509. The cubic root of 1055104200 is about 1018.0406446101.

Adding to 1055104200 its reverse (24015501), we get a palindrome (1079119701).

The spelling of 1055104200 in words is "one billion, fifty-five million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 30851 34200 61702 92553 123404 154255 185106 246808 277659 308510 370212 462765 555318 586169 617020 740424 771275 925530 1110636 1172338 1234040 1388295 1542550 1758507 1851060 2221272 2313825 2344676 2776590 2930845 3085100 3517014 3702120 4627650 4689352 5275521 5553180 5861690 6170200 6941475 7034028 8792535 9255300 10551042 11106360 11723380 13882950 14068056 14654225 17585070 18510600 21102084 23446760 26377605 27765900 29308450 35170140 42204168 43962675 52755210 55531800 58616900 70340280 87925350 105510420 117233800 131888025 175850700 211020840 263776050 351701400 527552100 1055104200