Search a number
-
+
112255780 = 225713371667
BaseRepresentation
bin1101011000011…
…10001100100100
321211020011222111
412230032030210
5212214141110
615050010404
72532105220
oct654161444
9254204874
10112255780
115840247a
1231716a04
131a345050
1410ca1780
159cc5e8a
hex6b0e324

112255780 has 96 divisors (see below), whose sum is σ = 298158336. Its totient is φ = 34546176.

The previous prime is 112255771. The next prime is 112255807. The reversal of 112255780 is 87552211.

112255780 = T1525 + T1526 + ... + T1615.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66507 + ... + 68173.

It is an arithmetic number, because the mean of its divisors is an integer number (3105816).

Almost surely, 2112255780 is an apocalyptic number.

112255780 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 112255780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149079168).

112255780 is an abundant number, since it is smaller than the sum of its proper divisors (185902556).

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

112255780 is a wasteful number, since it uses less digits than its factorization.

112255780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 112255780 is about 10595.0828217622. The cubic root of 112255780 is about 482.3951180124.

The spelling of 112255780 in words is "one hundred twelve million, two hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 182 185 259 260 364 370 455 481 518 740 910 962 1036 1295 1667 1820 1924 2405 2590 3334 3367 4810 5180 6668 6734 8335 9620 11669 13468 16670 16835 21671 23338 33340 33670 43342 46676 58345 61679 67340 86684 108355 116690 123358 151697 216710 233380 246716 303394 308395 431753 433420 606788 616790 758485 801827 863506 1233580 1516970 1603654 1727012 2158765 3033940 3207308 4009135 4317530 5612789 8018270 8635060 11225578 16036540 22451156 28063945 56127890 112255780