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126390132 = 22351111821
BaseRepresentation
bin1111000100010…
…00111101110100
322210211021200000
413202020331310
5224323441012
620312551300
73063204231
oct742107564
9283737600
10126390132
1165386860
12363b2530
132025367b
1412b00788
15b168ddc
hex7888f74

126390132 has 72 divisors (see below), whose sum is σ = 361469472. Its totient is φ = 38296800.

The previous prime is 126390049. The next prime is 126390133. The reversal of 126390132 is 231093621.

126390132 is a `hidden beast` number, since 12 + 639 + 0 + 13 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126390096 and 126390105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126390133) 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, 4782 + ... + 16602.

Almost surely, 2126390132 is an apocalyptic number.

126390132 is a gapful number since it is divisible by the number (12) 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 126390132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180734736).

126390132 is an abundant number, since it is smaller than the sum of its proper divisors (235079340).

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

126390132 is a wasteful number, since it uses less digits than its factorization.

126390132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 126390132 is about 11242.3365898731. The cubic root of 126390132 is about 501.8466804789.

The spelling of 126390132 in words is "one hundred twenty-six million, three hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 11821 23642 35463 47284 70926 106389 130031 141852 212778 260062 319167 390093 425556 520124 638334 780186 957501 1170279 1276668 1560372 1915002 2340558 2872503 3510837 3830004 4681116 5745006 7021674 10532511 11490012 14043348 21065022 31597533 42130044 63195066 126390132