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112734090 = 232571271409
BaseRepresentation
bin1101011100000…
…10111110001010
321212010111002200
412232002332022
5212324442330
615104141030
72536136550
oct656027612
9255114080
10112734090
11586a9877
1231907776
131a481981
1410d87bd0
159d6ca60
hex6b82f8a

112734090 has 96 divisors (see below), whose sum is σ = 337858560. Its totient is φ = 25546752.

The previous prime is 112734067. The next prime is 112734101. The reversal of 112734090 is 90437211.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79306 + ... + 80714.

It is an arithmetic number, because the mean of its divisors is an integer number (3519360).

Almost surely, 2112734090 is an apocalyptic number.

112734090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112734090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168929280).

112734090 is an abundant number, since it is smaller than the sum of its proper divisors (225124470).

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

112734090 is a wasteful number, since it uses less digits than its factorization.

112734090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 112734090 is about 10617.6310917266. The cubic root of 112734090 is about 483.0792920502.

The spelling of 112734090 in words is "one hundred twelve million, seven hundred thirty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1409 1778 1905 2286 2667 2818 3810 4227 4445 5334 5715 7045 8001 8454 8890 9863 11430 12681 13335 14090 16002 19726 21135 25362 26670 29589 40005 42270 49315 59178 63405 80010 88767 98630 126810 147945 177534 178943 295890 357886 443835 536829 887670 894715 1073658 1252601 1610487 1789430 2505202 2684145 3220974 3757803 5368290 6263005 7515606 8052435 11273409 12526010 16104870 18789015 22546818 37578030 56367045 112734090