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112603960 = 2357273787
BaseRepresentation
bin1101011011000…
…11001100111000
321211212212121001
412231203030320
5212311311320
615101254344
72535055300
oct655431470
9254785531
10112603960
1158620027
12318643b4
131a437681
1410d52600
159d4420a
hex6b63338

112603960 has 96 divisors (see below), whose sum is σ = 299140560. Its totient is φ = 38029824.

The previous prime is 112603943. The next prime is 112603969. The reversal of 112603960 is 69306211.

It is a super-3 number, since 3×1126039603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112603969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142687 + ... + 143473.

Almost surely, 2112603960 is an apocalyptic number.

112603960 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 112603960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149570280).

112603960 is an abundant number, since it is smaller than the sum of its proper divisors (186536600).

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

112603960 is a wasteful number, since it uses less digits than its factorization.

112603960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 112603960 is about 10611.5013075436. The cubic root of 112603960 is about 482.8933461912.

The spelling of 112603960 in words is "one hundred twelve million, six hundred three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 787 980 1022 1460 1574 1960 2044 2555 2920 3148 3577 3935 4088 5110 5509 6296 7154 7870 10220 11018 14308 15740 17885 20440 22036 27545 28616 31480 35770 38563 44072 55090 57451 71540 77126 110180 114902 143080 154252 192815 220360 229804 287255 308504 385630 402157 459608 574510 771260 804314 1149020 1542520 1608628 2010785 2298040 2815099 3217256 4021570 5630198 8043140 11260396 14075495 16086280 22520792 28150990 56301980 112603960