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1120004412 = 2232313130977
BaseRepresentation
bin100001011000001…
…1110100100111100
32220001111010012220
41002300132210330
54243210120122
6303045325340
736516610662
oct10260364474
92801433186
101120004412
1152523898a
12273106850
1314b066107
14a8a68c32
15684d825c
hex42c1e93c

1120004412 has 48 divisors (see below), whose sum is σ = 2747872512. Its totient is φ = 354365440.

The previous prime is 1120004383. The next prime is 1120004441. The reversal of 1120004412 is 2144000211.

It is an interprime number because it is at equal distance from previous prime (1120004383) and next prime (1120004441).

It is a junction number, because it is equal to n+sod(n) for n = 1120004391 and 1120004400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20668 + ... + 51644.

It is an arithmetic number, because the mean of its divisors is an integer number (57247344).

Almost surely, 21120004412 is an apocalyptic number.

1120004412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373936256).

1120004412 is an abundant number, since it is smaller than the sum of its proper divisors (1627868100).

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

1120004412 is a wasteful number, since it uses less digits than its factorization.

1120004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31138 (or 31136 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1120004412 is about 33466.4669781559. The cubic root of 1120004412 is about 1038.5001840163.

Adding to 1120004412 its reverse (2144000211), we get a palindrome (3264004623).

The spelling of 1120004412 in words is "one billion, one hundred twenty million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 131 138 262 276 393 524 786 1572 3013 6026 9039 12052 18078 30977 36156 61954 92931 123908 185862 371724 712471 1424942 2137413 2849884 4057987 4274826 8115974 8549652 12173961 16231948 24347922 48695844 93333701 186667402 280001103 373334804 560002206 1120004412