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112869460 = 2251117103293
BaseRepresentation
bin1101011101001…
…00000001010100
321212101100210101
412232210001110
5212343310320
615111103444
72540242324
oct656440124
9255340711
10112869460
1158791550
1231971b84
131a4cb482
1410dc1284
159d97c0a
hex6ba4054

112869460 has 96 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 38123520.

The previous prime is 112869439. The next prime is 112869509. The reversal of 112869460 is 64968211.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385074 + ... + 385366.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2112869460 is an apocalyptic number.

112869460 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 112869460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

112869460 is an abundant number, since it is smaller than the sum of its proper divisors (164516012).

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

112869460 is a wasteful number, since it uses less digits than its factorization.

112869460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 112869460 is about 10624.0039533125. The cubic root of 112869460 is about 483.2725736808.

The spelling of 112869460 in words is "one hundred twelve million, eight hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 103 110 170 187 206 220 293 340 374 412 515 586 748 935 1030 1133 1172 1465 1751 1870 2060 2266 2930 3223 3502 3740 4532 4981 5665 5860 6446 7004 8755 9962 11330 12892 16115 17510 19261 19924 22660 24905 30179 32230 35020 38522 49810 54791 60358 64460 77044 96305 99620 109582 120716 150895 192610 219164 273955 301790 331969 385220 513043 547910 603580 663938 1026086 1095820 1327876 1659845 2052172 2565215 3319690 5130430 5643473 6639380 10260860 11286946 22573892 28217365 56434730 112869460