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1053031400 = 23529975281
BaseRepresentation
bin111110110000111…
…111101111101000
32201101110112111222
4332300333233220
54124034001100
6252254041212
735044422251
oct7660775750
92641415458
101053031400
114a0455093
122547a9208
1313a217305
149dbd3b28
15626a9485
hex3ec3fbe8

1053031400 has 48 divisors (see below), whose sum is σ = 2451217740. Its totient is φ = 420710400.

The previous prime is 1053031387. The next prime is 1053031409. The reversal of 1053031400 is 41303501.

It can be written as a sum of positive squares in 6 ways, for example, as 373803556 + 679227844 = 19334^2 + 26062^2 .

It is a super-2 number, since 2×10530314002 = 2217750258771920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053031409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196760 + ... + 202040.

Almost surely, 21053031400 is an apocalyptic number.

1053031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053031400 is an abundant number, since it is smaller than the sum of its proper divisors (1398186340).

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

1053031400 is a wasteful number, since it uses less digits than its factorization.

1053031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1053031400 is about 32450.4452974069. The cubic root of 1053031400 is about 1017.3735452481.

Adding to 1053031400 its reverse (41303501), we get a palindrome (1094334901).

The spelling of 1053031400 in words is "one billion, fifty-three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 997 1994 3988 4985 5281 7976 9970 10562 19940 21124 24925 26405 39880 42248 49850 52810 99700 105620 132025 199400 211240 264050 528100 1056200 5265157 10530314 21060628 26325785 42121256 52651570 105303140 131628925 210606280 263257850 526515700 1053031400