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1112193840 = 24358952069
BaseRepresentation
bin100001001001010…
…1011101100110000
32212111210022010110
41002102223230300
54234210200330
6302210101320
736363330432
oct10222535460
92774708113
101112193840
1152089376a
1227057a840
1314955cc84
14a79d4652
1567993db0
hex424abb30

1112193840 has 80 divisors (see below), whose sum is σ = 3486607200. Its totient is φ = 293246976.

The previous prime is 1112193827. The next prime is 1112193857. The reversal of 1112193840 is 483912111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1112193798 and 1112193807.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4675 + ... + 47394.

It is an arithmetic number, because the mean of its divisors is an integer number (43582590).

Almost surely, 21112193840 is an apocalyptic number.

1112193840 is a gapful number since it is divisible by the number (10) 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 1112193840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743303600).

1112193840 is an abundant number, since it is smaller than the sum of its proper divisors (2374413360).

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

1112193840 is a wasteful number, since it uses less digits than its factorization.

1112193840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52174 (or 52168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1112193840 is about 33349.5703120745. The cubic root of 1112193840 is about 1036.0804884718.

The spelling of 1112193840 in words is "one billion, one hundred twelve million, one hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 7120 10680 21360 52069 104138 156207 208276 260345 312414 416552 520690 624828 781035 833104 1041380 1249656 1562070 2082760 2499312 3124140 4165520 4634141 6248280 9268282 12496560 13902423 18536564 23170705 27804846 37073128 46341410 55609692 69512115 74146256 92682820 111219384 139024230 185365640 222438768 278048460 370731280 556096920 1112193840