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112986692 = 227131719312
BaseRepresentation
bin1101011110000…
…00101001000100
321212121022121022
412233000221010
5212411033232
615113410312
72541241160
oct657005104
9255538538
10112986692
1158861635
1231a09998
131a53c940
1411011ca0
159dbc812
hex6bc0a44

112986692 has 144 divisors (see below), whose sum is σ = 280264320. Its totient is φ = 38568960.

The previous prime is 112986691. The next prime is 112986703. The reversal of 112986692 is 296689211.

It is not an unprimeable number, because it can be changed into a prime (112986691) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3644717 + ... + 3644747.

It is an arithmetic number, because the mean of its divisors is an integer number (1946280).

Almost surely, 2112986692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112986692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

112986692 is an abundant number, since it is smaller than the sum of its proper divisors (167277628).

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

112986692 is a wasteful number, since it uses less digits than its factorization.

112986692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 112986692 is about 10629.5198386381. The cubic root of 112986692 is about 483.4398329989.

The spelling of 112986692 in words is "one hundred twelve million, nine hundred eighty-six thousand, six hundred ninety-two".

Divisors: 1 2 4 7 13 14 17 19 26 28 31 34 38 52 62 68 76 91 119 124 133 182 217 221 238 247 266 323 364 403 434 442 476 494 527 532 589 646 806 868 884 961 988 1054 1178 1292 1547 1612 1729 1922 2108 2261 2356 2821 3094 3458 3689 3844 4123 4199 4522 5642 6188 6727 6851 6916 7378 7657 8246 8398 9044 10013 11284 12493 13454 13702 14756 15314 16337 16492 16796 18259 20026 24986 26908 27404 29393 30628 32674 36518 40052 47957 49972 53599 58786 65348 70091 73036 87451 95914 107198 114359 117572 127813 130169 140182 174902 191828 212381 214396 228718 237367 255626 260338 280364 310403 349804 424762 457436 474734 511252 520676 620806 849524 911183 949468 1241612 1486667 1661569 1822366 2172821 2973334 3323138 3644732 4035239 4345642 5946668 6646276 8070478 8691284 16140956 28246673 56493346 112986692