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112306480 = 24511139817
BaseRepresentation
bin1101011000110…
…10100100110000
321211022202112021
412230122210300
5212222301410
615051041224
72532406066
oct654324460
9254282467
10112306480
1158437580
1231740214
131a362150
1410cb6036
159cd5eda
hex6b1a930

112306480 has 80 divisors (see below), whose sum is σ = 306792864. Its totient is φ = 37693440.

The previous prime is 112306477. The next prime is 112306483. The reversal of 112306480 is 84603211.

It is an interprime number because it is at equal distance from previous prime (112306477) and next prime (112306483).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1123064802 = 25225490899980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112306483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6532 + ... + 16348.

Almost surely, 2112306480 is an apocalyptic number.

112306480 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 112306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153396432).

112306480 is an abundant number, since it is smaller than the sum of its proper divisors (194486384).

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

112306480 is a wasteful number, since it uses less digits than its factorization.

112306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854 (or 9848 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 112306480 is about 10597.4751710018. The cubic root of 112306480 is about 482.4677312039.

Adding to 112306480 its reverse (84603211), we get a palindrome (196909691).

The spelling of 112306480 in words is "one hundred twelve million, three hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 9817 11440 19634 39268 49085 78536 98170 107987 127621 157072 196340 215974 255242 392680 431948 510484 539935 638105 785360 863896 1020968 1079870 1276210 1403831 1727792 2041936 2159740 2552420 2807662 4319480 5104840 5615324 7019155 8638960 10209680 11230648 14038310 22461296 28076620 56153240 112306480