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1120144400 = 24525352837
BaseRepresentation
bin100001011000100…
…0000110000010000
32220001202020020122
41002301000300100
54243224110100
6303052325412
736521033054
oct10261006020
92801666218
101120144400
11525324081
12273173868
1314b0b4a4b
14a8aa3c64
1568514985
hex42c40c10

1120144400 has 60 divisors (see below), whose sum is σ = 2741975172. Its totient is φ = 439595520.

The previous prime is 1120144381. The next prime is 1120144409. The reversal of 1120144400 is 44410211.

It can be written as a sum of positive squares in 6 ways, for example, as 168792064 + 951352336 = 12992^2 + 30844^2 .

It is not an unprimeable number, because it can be changed into a prime (1120144409) 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, 5219 + ... + 47618.

Almost surely, 21120144400 is an apocalyptic number.

1120144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120144400 is an abundant number, since it is smaller than the sum of its proper divisors (1621830772).

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

1120144400 is a wasteful number, since it uses less digits than its factorization.

1120144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52908 (or 52897 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1120144400 is about 33468.5583794701. The cubic root of 1120144400 is about 1038.5434491754.

Adding to 1120144400 its reverse (44410211), we get a palindrome (1164554611).

The spelling of 1120144400 in words is "one billion, one hundred twenty million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 52837 105674 211348 264185 422696 528370 845392 1056740 1320925 2113480 2641850 2800361 4226960 5283700 5600722 10567400 11201444 14001805 21134800 22402888 28003610 44805776 56007220 70009025 112014440 140018050 224028880 280036100 560072200 1120144400