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1126560400 = 24527402343
BaseRepresentation
bin100001100100101…
…1111001010010000
32220111211012100021
41003021133022100
54301344413100
6303442033224
736626414440
oct10311371220
92814735307
101126560400
11528a06559
12275348814
1314c5201b4
14a9894120
1568d80a1a
hex4325f290

1126560400 has 60 divisors (see below), whose sum is σ = 3093220672. Its totient is φ = 386248320.

The previous prime is 1126560377. The next prime is 1126560469. The reversal of 1126560400 is 40656211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198372 + ... + 203971.

Almost surely, 21126560400 is an apocalyptic number.

1126560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126560400 is an abundant number, since it is smaller than the sum of its proper divisors (1966660272).

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

1126560400 is a wasteful number, since it uses less digits than its factorization.

1126560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402368 (or 402357 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1126560400 is about 33564.2726719945. The cubic root of 1126560400 is about 1040.5225431266.

The spelling of 1126560400 in words is "one billion, one hundred twenty-six million, five hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 402343 804686 1609372 2011715 2816401 3218744 4023430 5632802 6437488 8046860 10058575 11265604 14082005 16093720 20117150 22531208 28164010 32187440 40234300 45062416 56328020 70410025 80468600 112656040 140820050 160937200 225312080 281640100 563280200 1126560400