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112877380 = 225721137283
BaseRepresentation
bin1101011101001…
…01111101000100
321212101202122201
412232211331010
5212344034010
615111204244
72540304400
oct656457504
9255352581
10112877380
11587974a0
1231976684
131a501c65
1410dc4100
159d9a23a
hex6ba5f44

112877380 has 144 divisors (see below), whose sum is σ = 310032576. Its totient is φ = 34110720.

The previous prime is 112877351. The next prime is 112877381. The reversal of 112877380 is 83778211.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (112877381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398719 + ... + 399001.

It is an arithmetic number, because the mean of its divisors is an integer number (2153004).

Almost surely, 2112877380 is an apocalyptic number.

112877380 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 112877380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155016288).

112877380 is an abundant number, since it is smaller than the sum of its proper divisors (197155196).

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

112877380 is a wasteful number, since it uses less digits than its factorization.

112877380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 112877380 is about 10624.3766875991. The cubic root of 112877380 is about 483.2838770905.

The spelling of 112877380 in words is "one hundred twelve million, eight hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 49 55 70 74 77 98 110 140 148 154 185 196 220 245 259 283 308 370 385 407 490 518 539 566 740 770 814 980 1036 1078 1132 1295 1415 1540 1628 1813 1981 2035 2156 2590 2695 2830 2849 3113 3626 3962 4070 5180 5390 5660 5698 6226 7252 7924 8140 9065 9905 10471 10780 11396 12452 13867 14245 15565 18130 19810 19943 20942 21791 27734 28490 31130 36260 39620 39886 41884 43582 52355 55468 56980 62260 69335 73297 79772 87164 99715 104710 108955 115181 138670 146594 152537 199430 209420 217910 230362 277340 293188 305074 366485 398860 435820 460724 513079 575905 610148 732970 762685 806267 1026158 1151810 1465940 1525370 1612534 2052316 2303620 2565395 3050740 3225068 4031335 5130790 5643869 8062670 10261580 11287738 16125340 22575476 28219345 56438690 112877380