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126086940 = 223257100069
BaseRepresentation
bin1111000001111…
…10111100011100
322210020212202200
413200332330130
5224234240230
620302251500
73060502260
oct740767434
9283225680
10126086940
1165199a91
1236286b90
1320178675
1412a620a0
15b109160
hex783ef1c

126086940 has 72 divisors (see below), whose sum is σ = 437105760. Its totient is φ = 28819584.

The previous prime is 126086927. The next prime is 126086941. The reversal of 126086940 is 49680621.

126086940 is a `hidden beast` number, since 1 + 2 + 608 + 6 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126086895 and 126086904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126086941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48775 + ... + 51294.

Almost surely, 2126086940 is an apocalyptic number.

126086940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126086940 is an abundant number, since it is smaller than the sum of its proper divisors (311018820).

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

126086940 is a wasteful number, since it uses less digits than its factorization.

126086940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100091 (or 100086 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126086940 is about 11228.8441079213. The cubic root of 126086940 is about 501.4450728388.

The spelling of 126086940 in words is "one hundred twenty-six million, eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 100069 200138 300207 400276 500345 600414 700483 900621 1000690 1200828 1400966 1501035 1801242 2001380 2101449 2801932 3002070 3502415 3602484 4202898 4503105 6004140 6304347 7004830 8405796 9006210 10507245 12608694 14009660 18012420 21014490 25217388 31521735 42028980 63043470 126086940