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111379620 = 223511374561
BaseRepresentation
bin1101010001110…
…00010010100100
321202120200010010
412220320102210
5212003121440
615015130220
72521465632
oct650702244
9252520103
10111379620
1157964180
1231373970
131a0c9301
1410b14352
159ba1580
hex6a384a4

111379620 has 96 divisors (see below), whose sum is σ = 349485696. Its totient is φ = 26265600.

The previous prime is 111379603. The next prime is 111379679. The reversal of 111379620 is 26973111.

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

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, 22140 + ... + 26700.

It is an arithmetic number, because the mean of its divisors is an integer number (3640476).

Almost surely, 2111379620 is an apocalyptic number.

111379620 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 111379620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174742848).

111379620 is an abundant number, since it is smaller than the sum of its proper divisors (238106076).

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

111379620 is a wasteful number, since it uses less digits than its factorization.

111379620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 111379620 is about 10553.6543434016. The cubic root of 111379620 is about 481.1368020712.

The spelling of 111379620 in words is "one hundred eleven million, three hundred seventy-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4561 4884 6105 8140 9122 12210 13683 18244 22805 24420 27366 45610 50171 54732 68415 91220 100342 136830 150513 168757 200684 250855 273660 301026 337514 501710 506271 602052 675028 752565 843785 1003420 1012542 1505130 1687570 1856327 2025084 2531355 3010260 3375140 3712654 5062710 5568981 7425308 9281635 10125420 11137962 18563270 22275924 27844905 37126540 55689810 111379620