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126550032 = 24371943461
BaseRepresentation
bin1111000101100…
…00000000010000
322211010102000020
413202300000100
5224344100112
620320223440
73064441350
oct742600020
9284112006
10126550032
1165485a04
123646ab80
13202ab39b
1412b42b60
15b19b48c
hex78b0010

126550032 has 160 divisors (see below), whose sum is σ = 403307520. Its totient is φ = 33384960.

The previous prime is 126550031. The next prime is 126550033. The reversal of 126550032 is 230055621.

It is an interprime number because it is at equal distance from previous prime (126550031) and next prime (126550033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 126549984 and 126550011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126550031) 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, 274282 + ... + 274742.

It is an arithmetic number, because the mean of its divisors is an integer number (2520672).

Almost surely, 2126550032 is an apocalyptic number.

126550032 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 126550032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

126550032 is an abundant number, since it is smaller than the sum of its proper divisors (276757488).

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

126550032 is a wasteful number, since it uses less digits than its factorization.

126550032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 126550032 is about 11249.4458530187. The cubic root of 126550032 is about 502.0582251263.

The spelling of 126550032 in words is "one hundred twenty-six million, five hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 43 48 56 57 76 84 86 112 114 129 133 152 168 172 228 258 266 301 304 336 344 399 456 461 516 532 602 688 798 817 903 912 922 1032 1064 1204 1383 1596 1634 1806 1844 2064 2128 2408 2451 2766 3192 3227 3268 3612 3688 4816 4902 5532 5719 6384 6454 6536 7224 7376 8759 9681 9804 11064 11438 12908 13072 14448 17157 17518 19362 19608 19823 22128 22876 25816 26277 34314 35036 38724 39216 39646 45752 51632 52554 59469 61313 68628 70072 77448 79292 91504 105108 118938 122626 137256 138761 140144 154896 158584 183939 210216 237876 245252 274512 277522 317168 367878 376637 416283 420432 475752 490504 555044 735756 753274 832566 951504 981008 1110088 1129911 1471512 1506548 1665132 2220176 2259822 2636459 2943024 3013096 3330264 4519644 5272918 6026192 6660528 7909377 9039288 10545836 15818754 18078576 21091672 31637508 42183344 63275016 126550032