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112454004 = 223131076737
BaseRepresentation
bin1101011001111…
…10100101110100
321211121020220010
412230332211310
5212242012004
615054140220
72533562145
oct654764564
9254536803
10112454004
11585283a3
12317b1670
131a3b4340
1410d13acc
159d14a89
hex6b3e974

112454004 has 48 divisors (see below), whose sum is σ = 285259968. Its totient is φ = 34272768.

The previous prime is 112453993. The next prime is 112454009. The reversal of 112454004 is 400454211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112454009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324 + ... + 20060.

It is an arithmetic number, because the mean of its divisors is an integer number (5942916).

Almost surely, 2112454004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112454004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142629984).

112454004 is an abundant number, since it is smaller than the sum of its proper divisors (172805964).

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

112454004 is a wasteful number, since it uses less digits than its factorization.

112454004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 112454004 is about 10604.4332238927. The cubic root of 112454004 is about 482.6788927423.

The spelling of 112454004 in words is "one hundred twelve million, four hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 6737 8346 13474 16692 20211 26948 40422 80844 87581 175162 262743 350324 525486 720859 1050972 1441718 2162577 2883436 4325154 8650308 9371167 18742334 28113501 37484668 56227002 112454004