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1053511400 = 235241128477
BaseRepresentation
bin111110110010110…
…100111011101000
32201102100220221202
4332302310323220
54124144331100
6252312223332
735051461544
oct7662647350
92642326852
101053511400
114a0752787
1225499ab48
1313a354936
149dcbaa24
15627517d5
hex3ecb4ee8

1053511400 has 48 divisors (see below), whose sum is σ = 2509175340. Its totient is φ = 411123200.

The previous prime is 1053511387. The next prime is 1053511421. The reversal of 1053511400 is 41153501.

It can be written as a sum of positive squares in 6 ways, for example, as 107702884 + 945808516 = 10378^2 + 30754^2 .

It is a super-2 number, since 2×10535114002 = 2219772539859920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56039 + ... + 72438.

Almost surely, 21053511400 is an apocalyptic number.

1053511400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053511400 is an abundant number, since it is smaller than the sum of its proper divisors (1455663940).

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

1053511400 is a wasteful number, since it uses less digits than its factorization.

1053511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128534 (or 128525 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1053511400 is about 32457.8403471334. The cubic root of 1053511400 is about 1017.5281038305.

Adding to 1053511400 its reverse (41153501), we get a palindrome (1094664901).

The spelling of 1053511400 in words is "one billion, fifty-three million, five hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 128477 256954 513908 642385 1027816 1284770 2569540 3211925 5139080 5267557 6423850 10535114 12847700 21070228 25695400 26337785 42140456 52675570 105351140 131688925 210702280 263377850 526755700 1053511400