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112161360 = 243559892
BaseRepresentation
bin1101010111101…
…11001001010000
321211001101110110
412223313021100
5212203130420
615044001320
72531233023
oct653671120
9254041413
10112161360
1158348543
1231690240
131a31108c
1410c791ba
159ca7ee0
hex6af7250

112161360 has 120 divisors (see below), whose sum is σ = 357611040. Its totient is φ = 29072384.

The previous prime is 112161353. The next prime is 112161367. The reversal of 112161360 is 63161211.

It is an interprime number because it is at equal distance from previous prime (112161353) and next prime (112161367).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112161367) 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, 1260196 + ... + 1260284.

It is an arithmetic number, because the mean of its divisors is an integer number (2980092).

Almost surely, 2112161360 is an apocalyptic number.

112161360 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 112161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178805520).

112161360 is an abundant number, since it is smaller than the sum of its proper divisors (245449680).

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

112161360 is an equidigital number, since it uses as much as digits as its factorization.

112161360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 112161360 is about 10590.6260438182. The cubic root of 112161360 is about 482.2598301804.

It can be divided in two parts, 1121 and 61360, that added together give a triangular number (62481 = T353).

The spelling of 112161360 in words is "one hundred twelve million, one hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 89 118 120 177 178 236 240 267 295 354 356 445 472 534 590 708 712 885 890 944 1068 1180 1335 1416 1424 1770 1780 2136 2360 2670 2832 3540 3560 4272 4720 5251 5340 7080 7120 7921 10502 10680 14160 15753 15842 21004 21360 23763 26255 31506 31684 39605 42008 47526 52510 63012 63368 78765 79210 84016 95052 105020 118815 126024 126736 157530 158420 190104 210040 237630 252048 315060 316840 380208 420080 467339 475260 630120 633680 934678 950520 1260240 1402017 1869356 1901040 2336695 2804034 3738712 4673390 5608068 7010085 7477424 9346780 11216136 14020170 18693560 22432272 28040340 37387120 56080680 112161360