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126885096 = 23331373619
BaseRepresentation
bin1111001000000…
…01110011101000
322211202102122000
413210001303220
5224440310341
620331331000
73100335252
oct744016350
9284672560
10126885096
1165694718
12365b0a60
1320397a50
1412bcccd2
15b2158b6
hex7901ce8

126885096 has 128 divisors (see below), whose sum is σ = 385392000. Its totient is φ = 38444544.

The previous prime is 126885091. The next prime is 126885133. The reversal of 126885096 is 690588621.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126885091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204675 + ... + 205293.

It is an arithmetic number, because the mean of its divisors is an integer number (3010875).

Almost surely, 2126885096 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 126885096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192696000).

126885096 is an abundant number, since it is smaller than the sum of its proper divisors (258506904).

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

126885096 is a wasteful number, since it uses less digits than its factorization.

126885096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 126885096 is about 11264.3284753242. The cubic root of 126885096 is about 502.5009311633.

The spelling of 126885096 in words is "one hundred twenty-six million, eight hundred eighty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 104 108 117 146 156 216 219 234 292 312 351 438 468 584 619 657 702 876 936 949 1238 1314 1404 1752 1857 1898 1971 2476 2628 2808 2847 3714 3796 3942 4952 5256 5571 5694 7428 7592 7884 8047 8541 11142 11388 14856 15768 16094 16713 17082 22284 22776 24141 25623 32188 33426 34164 44568 45187 48282 51246 64376 66852 68328 72423 90374 96564 102492 133704 135561 144846 180748 193128 204984 217269 271122 289692 361496 406683 434538 542244 579384 587431 813366 869076 1084488 1174862 1220049 1626732 1738152 1762293 2349724 2440098 3253464 3524586 4699448 4880196 5286879 7049172 9760392 10573758 14098344 15860637 21147516 31721274 42295032 63442548 126885096