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1120242000 = 24353186707
BaseRepresentation
bin100001011000101…
…1000100101010000
32220001221012010110
41002301120211100
54243240221000
6303054401320
736521620443
oct10261304520
92801835113
101120242000
11525390439
12273200240
1314b11a2b7
14a8acb65a
1568533850
hex42c58950

1120242000 has 80 divisors (see below), whose sum is σ = 3611679552. Its totient is φ = 298729600.

The previous prime is 1120241989. The next prime is 1120242001. The reversal of 1120242000 is 2420211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120242001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87354 + ... + 99353.

Almost surely, 21120242000 is an apocalyptic number.

1120242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120242000 is an abundant number, since it is smaller than the sum of its proper divisors (2491437552).

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

1120242000 is a wasteful number, since it uses less digits than its factorization.

1120242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186733 (or 186717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1120242000 is about 33470.0164326222. The cubic root of 1120242000 is about 1038.5736116250.

Adding to 1120242000 its reverse (2420211), we get a palindrome (1122662211).

The spelling of 1120242000 in words is "one billion, one hundred twenty million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 186707 373414 560121 746828 933535 1120242 1493656 1867070 2240484 2800605 2987312 3734140 4480968 4667675 5601210 7468280 8961936 9335350 11202420 14003025 14936560 18670700 22404840 23338375 28006050 37341400 44809680 46676750 56012100 70015125 74682800 93353500 112024200 140030250 186707000 224048400 280060500 373414000 560121000 1120242000