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40201668 = 2232131731163
BaseRepresentation
bin1001100101011…
…0110111000100
32210122110022200
42121112313010
540242423133
63553354500
7665465013
oct231266704
983573280
1040201668
1120769121
1211568a30
138437590
1454a6a7a
1537e1913
hex2656dc4

40201668 has 144 divisors (see below), whose sum is σ = 120347136. Its totient is φ = 11197440.

The previous prime is 40201661. The next prime is 40201687. The reversal of 40201668 is 86610204.

40201668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40201661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246555 + ... + 246717.

It is an arithmetic number, because the mean of its divisors is an integer number (835744).

Almost surely, 240201668 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 40201668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60173568).

40201668 is an abundant number, since it is smaller than the sum of its proper divisors (80145468).

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

40201668 is a wasteful number, since it uses less digits than its factorization.

40201668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40201668 is about 6340.4785308366. The cubic root of 40201668 is about 342.5689718486.

The spelling of 40201668 in words is "forty million, two hundred one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 31 34 36 39 51 52 62 68 78 93 102 117 124 153 156 163 186 204 221 234 279 306 326 372 403 442 468 489 527 558 612 652 663 806 884 978 1054 1116 1209 1326 1467 1581 1612 1956 1989 2108 2119 2418 2652 2771 2934 3162 3627 3978 4238 4743 4836 5053 5542 5868 6324 6357 6851 7254 7956 8313 8476 9486 10106 11084 12714 13702 14508 15159 16626 18972 19071 20212 20553 24939 25428 27404 30318 33252 36023 38142 41106 45477 49878 60636 61659 65689 72046 76284 82212 85901 90954 99756 108069 123318 131378 144092 171802 181908 197067 216138 246636 257703 262756 324207 343604 394134 432276 515406 591201 648414 773109 788268 1030812 1116713 1182402 1296828 1546218 2233426 2364804 3092436 3350139 4466852 6700278 10050417 13400556 20100834 40201668