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112984620 = 22357367733
BaseRepresentation
bin1101011110000…
…00001000101100
321212121012202120
412233000020230
5212411001440
615113352540
72541232140
oct657001054
9255535676
10112984620
1158860021
1231a08750
131a53ba08
1411011220
159dbbdd0
hex6bc022c

112984620 has 96 divisors (see below), whose sum is σ = 363030528. Its totient is φ = 25719552.

The previous prime is 112984603. The next prime is 112984631. The reversal of 112984620 is 26489211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153774 + ... + 154506.

It is an arithmetic number, because the mean of its divisors is an integer number (3781568).

Almost surely, 2112984620 is an apocalyptic number.

112984620 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 112984620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181515264).

112984620 is an abundant number, since it is smaller than the sum of its proper divisors (250045908).

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

112984620 is a wasteful number, since it uses less digits than its factorization.

112984620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 112984620 is about 10629.4223737699. The cubic root of 112984620 is about 483.4368778029.

The spelling of 112984620 in words is "one hundred twelve million, nine hundred eighty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 367 420 733 734 1101 1466 1468 1835 2199 2202 2569 2932 3665 3670 4398 4404 5131 5138 5505 7330 7340 7707 8796 10262 10276 10995 11010 12845 14660 15393 15414 20524 21990 22020 25655 25690 30786 30828 38535 43980 51310 51380 61572 76965 77070 102620 153930 154140 269011 307860 538022 807033 1076044 1345055 1614066 1883077 2690110 3228132 3766154 4035165 5380220 5649231 7532308 8070330 9415385 11298462 16140660 18830770 22596924 28246155 37661540 56492310 112984620