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111343920 = 2435232877
BaseRepresentation
bin1101010001011…
…11100100110000
321202111212010220
412220233210300
5212001001140
615014253040
72521256562
oct650574460
9252455126
10111343920
115793a376
1231357180
131a0b5c9c
1410b05332
159b95bd0
hex6a2f930

111343920 has 120 divisors (see below), whose sum is σ = 361237296. Its totient is φ = 28368384.

The previous prime is 111343901. The next prime is 111343949. The reversal of 111343920 is 29343111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 126522 + ... + 127398.

Almost surely, 2111343920 is an apocalyptic number.

111343920 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 111343920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180618648).

111343920 is an abundant number, since it is smaller than the sum of its proper divisors (249893376).

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

111343920 is a wasteful number, since it uses less digits than its factorization.

111343920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 111343920 is about 10551.9628505790. The cubic root of 111343920 is about 481.0853910520.

The spelling of 111343920 in words is "one hundred eleven million, three hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 529 552 690 877 920 1058 1104 1380 1587 1754 1840 2116 2631 2645 2760 3174 3508 4232 4385 5262 5290 5520 6348 7016 7935 8464 8770 10524 10580 12696 13155 14032 15870 17540 20171 21048 21160 25392 26310 31740 35080 40342 42096 42320 52620 60513 63480 70160 80684 100855 105240 121026 126960 161368 201710 210480 242052 302565 322736 403420 463933 484104 605130 806840 927866 968208 1210260 1391799 1613680 1855732 2319665 2420520 2783598 3711464 4639330 4841040 5567196 6958995 7422928 9278660 11134392 13917990 18557320 22268784 27835980 37114640 55671960 111343920