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112754970 = 23352367271
BaseRepresentation
bin1101011100010…
…00000100011010
321212011112202000
412232020010122
5212331124340
615104421430
72536254456
oct656100432
9255145660
10112754970
1158713529
1231917876
131a48b323
1410d91666
159d73d30
hex6b8811a

112754970 has 128 divisors (see below), whose sum is σ = 319610880. Its totient is φ = 28226880.

The previous prime is 112754963. The next prime is 112754981. The reversal of 112754970 is 79457211.

It is a happy number.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 415935 + ... + 416205.

It is an arithmetic number, because the mean of its divisors is an integer number (2496960).

Almost surely, 2112754970 is an apocalyptic number.

112754970 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 112754970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159805440).

112754970 is an abundant number, since it is smaller than the sum of its proper divisors (206855910).

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

112754970 is a wasteful number, since it uses less digits than its factorization.

112754970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 112754970 is about 10618.6143163786. The cubic root of 112754970 is about 483.1091146559.

The spelling of 112754970 in words is "one hundred twelve million, seven hundred fifty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 67 69 90 115 134 135 138 201 207 230 270 271 335 345 402 414 542 603 621 670 690 813 1005 1035 1206 1242 1355 1541 1626 1809 2010 2070 2439 2710 3015 3082 3105 3618 4065 4623 4878 6030 6210 6233 7317 7705 8130 9045 9246 12195 12466 13869 14634 15410 18090 18157 18699 23115 24390 27738 31165 36314 36585 37398 41607 46230 54471 56097 62330 69345 73170 83214 90785 93495 108942 112194 138690 163413 168291 181570 186990 208035 272355 280485 326826 336582 416070 417611 490239 544710 560970 817065 835222 841455 980478 1252833 1634130 1682910 2088055 2451195 2505666 3758499 4176110 4902390 6264165 7516998 11275497 12528330 18792495 22550994 37584990 56377485 112754970