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1130345400 = 233524145949
BaseRepresentation
bin100001101011111…
…1011001110111000
32220202221111101110
41003113323032320
54303332023100
6304055120320
740003530432
oct10327731670
92822844343
101130345400
11530061258
122766730a0
13150246c42
14aa19b652
156937c250
hex435fb3b8

1130345400 has 96 divisors (see below), whose sum is σ = 3589614000. Its totient is φ = 294067200.

The previous prime is 1130345393. The next prime is 1130345407. The reversal of 1130345400 is 45430311.

It is an interprime number because it is at equal distance from previous prime (1130345393) and next prime (1130345407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130345407) 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, 1626 + ... + 47574.

Almost surely, 21130345400 is an apocalyptic number.

1130345400 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 1130345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794807000).

1130345400 is an abundant number, since it is smaller than the sum of its proper divisors (2459268600).

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

1130345400 is a wasteful number, since it uses less digits than its factorization.

1130345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46009 (or 46000 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1130345400 is about 33620.6097505682. The cubic root of 1130345400 is about 1041.6865509449.

Adding to 1130345400 its reverse (45430311), we get a palindrome (1175775711).

The spelling of 1130345400 in words is "one billion, one hundred thirty million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 45949 91898 137847 183796 229745 275694 367592 459490 551388 689235 918980 1102776 1148725 1378470 1837960 1883909 2297450 2756940 3446175 3767818 4594900 5513880 5651727 6892350 7535636 9189800 9419545 11303454 13784700 15071272 18839090 22606908 27569400 28258635 37678180 45213816 47097725 56517270 75356360 94195450 113034540 141293175 188390900 226069080 282586350 376781800 565172700 1130345400