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126130356 = 2232112331367
BaseRepresentation
bin1111000010010…
…01100010110100
322210100002022200
413201021202310
5224242132411
620303224500
73061042662
oct741114264
9283302280
10126130356
1165219670
12362a8130
1320192361
1412a73c32
15b116e56
hex78498b4

126130356 has 72 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 38029440.

The previous prime is 126130343. The next prime is 126130387. The reversal of 126130356 is 653031621.

126130356 is a `hidden beast` number, since 12 + 613 + 0 + 35 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91585 + ... + 92951.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 2126130356 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 126130356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

126130356 is an abundant number, since it is smaller than the sum of its proper divisors (223431948).

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

126130356 is a wasteful number, since it uses less digits than its factorization.

126130356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 126130356 is about 11230.7771770256. Note that the first 3 decimals coincide. The cubic root of 126130356 is about 501.5026210695.

Adding to 126130356 its reverse (653031621), we get a palindrome (779161977).

The spelling of 126130356 in words is "one hundred twenty-six million, one hundred thirty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 396 466 699 932 1367 1398 2097 2563 2734 2796 4101 4194 5126 5468 7689 8202 8388 10252 12303 15037 15378 16404 23067 24606 30074 30756 45111 46134 49212 60148 90222 92268 135333 180444 270666 318511 541332 637022 955533 1274044 1911066 2866599 3503621 3822132 5733198 7007242 10510863 11466396 14014484 21021726 31532589 42043452 63065178 126130356