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1242119904 = 25331417379
BaseRepresentation
bin100101000001001…
…0011111011100000
310012120021020011220
41022002103323200
510020440314104
6323130535040
742531562554
oct11202237340
93176236156
101242119904
11588165083
122a7b97480
1316a450bbc
14bad75864
15740aa7d9
hex4a093ee0

1242119904 has 48 divisors (see below), whose sum is σ = 3365752320. Its totient is φ = 400682880.

The previous prime is 1242119903. The next prime is 1242119911. The reversal of 1242119904 is 4099112421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242119903) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 205714 + ... + 211665.

It is an arithmetic number, because the mean of its divisors is an integer number (70119840).

Almost surely, 21242119904 is an apocalyptic number.

It is an amenable number.

1242119904 is an abundant number, since it is smaller than the sum of its proper divisors (2123632416).

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

1242119904 is a wasteful number, since it uses less digits than its factorization.

1242119904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417423 (or 417415 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1242119904 is about 35243.7214834075. The cubic root of 1242119904 is about 1074.9489513166.

The spelling of 1242119904 in words is "one billion, two hundred forty-two million, one hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 417379 834758 1252137 1669516 2504274 3339032 5008548 6678064 10017096 12938749 13356128 20034192 25877498 38816247 40068384 51754996 77632494 103509992 155264988 207019984 310529976 414039968 621059952 1242119904