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126243904 = 26171931197
BaseRepresentation
bin1111000011001…
…01010001000000
322210112212002011
413201211101000
5224304301104
620305502304
73062025013
oct741452100
9283485064
10126243904
1165296a06
1236341994
1320201c47
1412aa337a
15b13a904
hex7865440

126243904 has 112 divisors (see below), whose sum is σ = 289681920. Its totient is φ = 54190080.

The previous prime is 126243899. The next prime is 126243917. The reversal of 126243904 is 409342621.

It is a happy number.

It is a super-2 number, since 2×1262439042 = 31875046594322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640734 + ... + 640930.

Almost surely, 2126243904 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 126243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

126243904 is an abundant number, since it is smaller than the sum of its proper divisors (163438016).

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

126243904 is a wasteful number, since it uses less digits than its factorization.

126243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 126243904 is about 11235.8312554079. The cubic root of 126243904 is about 501.6530673802.

The spelling of 126243904 in words is "one hundred twenty-six million, two hundred forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 19 31 32 34 38 62 64 68 76 124 136 152 197 248 272 304 323 394 496 527 544 589 608 646 788 992 1054 1088 1178 1216 1292 1576 1984 2108 2356 2584 3152 3349 3743 4216 4712 5168 6107 6304 6698 7486 8432 9424 10013 10336 12214 12608 13396 14972 16864 18848 20026 20672 24428 26792 29944 33728 37696 40052 48856 53584 59888 63631 80104 97712 103819 107168 116033 119776 127262 160208 195424 207638 214336 232066 239552 254524 320416 390848 415276 464132 509048 640832 830552 928264 1018096 1661104 1856528 1972561 2036192 3322208 3713056 3945122 4072384 6644416 7426112 7890244 15780488 31560976 63121952 126243904