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19141120 = 2957477
BaseRepresentation
bin100100100000…
…1001000000000
31100000110200101
41021001020000
514400003440
61522132144
7321461005
oct111011000
940013611
1019141120
11a894009
1264b1054
133c7250b
1427838ac
151a3169a
hex1241200

19141120 has 40 divisors (see below), whose sum is σ = 45899964. Its totient is φ = 7655424.

The previous prime is 19141091. The next prime is 19141127. The reversal of 19141120 is 2114191.

It can be written as a sum of positive squares in 2 ways, for example, as 18249984 + 891136 = 4272^2 + 944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (19141127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1179 + ... + 6298.

Almost surely, 219141120 is an apocalyptic number.

19141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19141120 is an abundant number, since it is smaller than the sum of its proper divisors (26758844).

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

19141120 is an frugal number, since it uses more digits than its factorization.

19141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 19141120 is about 4375.0565710628. The cubic root of 19141120 is about 267.4991760536.

The spelling of 19141120 in words is "nineteen million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 7477 14954 29908 37385 59816 74770 119632 149540 239264 299080 478528 598160 957056 1196320 1914112 2392640 3828224 4785280 9570560 19141120