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112455480 = 23356771197
BaseRepresentation
bin1101011001111…
…10111100111000
321211121022220210
412230332330320
5212242033410
615054151120
72533566354
oct654767470
9254538823
10112455480
1158529515
12317b24a0
131a3b4c07
1410d14464
159d15220
hex6b3ef38

112455480 has 128 divisors (see below), whose sum is σ = 348986880. Its totient is φ = 28976640.

The previous prime is 112455467. The next prime is 112455517. The reversal of 112455480 is 84554211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570742 + ... + 570938.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 2112455480 is an apocalyptic number.

112455480 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 112455480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440).

112455480 is an abundant number, since it is smaller than the sum of its proper divisors (236531400).

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

112455480 is a wasteful number, since it uses less digits than its factorization.

112455480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 112455480 is about 10604.5028171999. The cubic root of 112455480 is about 482.6810045122.

The spelling of 112455480 in words is "one hundred twelve million, four hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 71 120 134 142 197 201 213 268 284 335 355 394 402 426 536 568 591 670 710 788 804 852 985 1005 1065 1182 1340 1420 1576 1608 1704 1970 2010 2130 2364 2680 2840 2955 3940 4020 4260 4728 4757 5910 7880 8040 8520 9514 11820 13199 13987 14271 19028 23640 23785 26398 27974 28542 38056 39597 41961 47570 52796 55948 57084 65995 69935 71355 79194 83922 95140 105592 111896 114168 131990 139870 142710 158388 167844 190280 197985 209805 263980 279740 285420 316776 335688 395970 419610 527960 559480 570840 791940 839220 937129 1583880 1678440 1874258 2811387 3748516 4685645 5622774 7497032 9371290 11245548 14056935 18742580 22491096 28113870 37485160 56227740 112455480