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40023126 = 23311137173
BaseRepresentation
bin1001100010101…
…1010001010110
32210022101102000
42120223101112
540221220001
63545500130
7664122333
oct230532126
983271360
1040023126
1120656a70
12114a1646
1383a4230
14545b98a
1537a8a86
hex262b456

40023126 has 128 divisors (see below), whose sum is σ = 107412480. Its totient is φ = 10886400.

The previous prime is 40023119. The next prime is 40023127. The reversal of 40023126 is 62132004.

40023126 = 2152 + 2162 + ... + 5062.

It is a happy number.

It is a super-3 number, since 3×400231263 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40023099 and 40023108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40023127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548226 + ... + 548298.

It is an arithmetic number, because the mean of its divisors is an integer number (839160).

Almost surely, 240023126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40023126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706240).

40023126 is an abundant number, since it is smaller than the sum of its proper divisors (67389354).

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

40023126 is a wasteful number, since it uses less digits than its factorization.

40023126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40023126 is about 6326.3833269887. The cubic root of 40023126 is about 342.0610848107.

The spelling of 40023126 in words is "forty million, twenty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 71 73 78 99 117 142 143 146 198 213 219 234 286 297 351 426 429 438 594 639 657 702 781 803 858 923 949 1278 1287 1314 1562 1606 1846 1898 1917 1971 2343 2409 2574 2769 2847 3834 3861 3942 4686 4818 5183 5538 5694 7029 7227 7722 8307 8541 10153 10366 10439 14058 14454 15549 16614 17082 20306 20878 21087 21681 24921 25623 30459 31098 31317 42174 43362 46647 49842 51246 57013 60918 62634 67379 91377 93294 93951 114026 134758 139941 171039 182754 187902 202137 274131 279882 281853 342078 404274 513117 548262 563706 606411 741169 1026234 1212822 1482338 1539351 1819233 2223507 3078702 3638466 4447014 6670521 13341042 20011563 40023126