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40025106 = 232112172347
BaseRepresentation
bin1001100010101…
…1110000010010
32210022111010100
42120223300102
540221300411
63545513230
7664131162
oct230536022
983274110
1040025106
1120658500
12114a2816
1383a50c4
14545c5a2
1537a9456
hex262bc12

40025106 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 10686720.

The previous prime is 40025101. The next prime is 40025119. The reversal of 40025106 is 60152004.

It is a happy number.

It is a super-2 number, since 2×400251062 = 3204018220622472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40025101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851575 + ... + 851621.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 240025106 is an apocalyptic number.

40025106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40025106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

40025106 is an abundant number, since it is smaller than the sum of its proper divisors (67532526).

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

40025106 is a wasteful number, since it uses less digits than its factorization.

40025106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40025106 is about 6326.5398125674. The cubic root of 40025106 is about 342.0667254644.

The spelling of 40025106 in words is "forty million, twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 47 51 66 69 94 99 102 121 138 141 153 187 198 207 242 253 282 306 363 374 391 414 423 506 517 561 726 759 782 799 846 1034 1081 1089 1122 1173 1518 1551 1598 1683 2057 2162 2178 2277 2346 2397 2783 3102 3243 3366 3519 4114 4301 4554 4653 4794 5566 5687 6171 6486 7038 7191 8349 8602 8789 9306 9729 11374 11891 12342 12903 14382 16698 17061 17578 18377 18513 19458 23782 25047 25806 26367 34122 35673 36754 37026 38709 47311 50094 51183 52734 55131 71346 77418 79101 94622 96679 102366 107019 110262 130801 141933 158202 165393 193358 202147 214038 261602 283866 290037 330786 392403 404294 425799 580074 606441 784806 851598 870111 1177209 1212882 1740222 1819323 2223617 2354418 3638646 4447234 6670851 13341702 20012553 40025106