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126274140 = 22345233389
BaseRepresentation
bin1111000011011…
…00101001011100
322210121101120000
413201230221130
5224311233030
620310254300
73062212116
oct741545134
9283541500
10126274140
11653076a3
1236357390
1320212935
1412ab03b6
15b144860
hex786ca5c

126274140 has 120 divisors (see below), whose sum is σ = 413471520. Its totient is φ = 32199552.

The previous prime is 126274103. The next prime is 126274151. The reversal of 126274140 is 41472621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35566 + ... + 38954.

It is an arithmetic number, because the mean of its divisors is an integer number (3445596).

Almost surely, 2126274140 is an apocalyptic number.

126274140 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 126274140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206735760).

126274140 is an abundant number, since it is smaller than the sum of its proper divisors (287197380).

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

126274140 is a wasteful number, since it uses less digits than its factorization.

126274140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 126274140 is about 11237.1766916784. The cubic root of 126274140 is about 501.6931135947.

The spelling of 126274140 in words is "one hundred twenty-six million, two hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3389 3726 4140 6210 6778 7452 9315 10167 12420 13556 16945 18630 20334 30501 33890 37260 40668 50835 61002 67780 77947 91503 101670 122004 152505 155894 183006 203340 233841 274509 305010 311788 366012 389735 457515 467682 549018 610020 701523 779470 915030 935364 1098036 1169205 1372545 1403046 1558940 1830060 2104569 2338410 2745090 2806092 3507615 4209138 4676820 5490180 6313707 7015230 8418276 10522845 12627414 14030460 21045690 25254828 31568535 42091380 63137070 126274140