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40143960 = 23325195869
BaseRepresentation
bin1001100100100…
…0110001011000
32210112112011100
42121020301120
540234101320
63552231400
7665134533
oct231106130
983475140
1040143960
112072982a
121153b560
13841722c
14548da1a
1537ce790
hex2648c58

40143960 has 96 divisors (see below), whose sum is σ = 137358000. Its totient is φ = 10139904.

The previous prime is 40143923. The next prime is 40143967. The reversal of 40143960 is 6934104.

It is a super-2 number, since 2×401439602 = 3223075048963200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40143967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3906 + ... + 9774.

Almost surely, 240143960 is an apocalyptic number.

40143960 is a gapful number since it is divisible by the number (40) 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 40143960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68679000).

40143960 is an abundant number, since it is smaller than the sum of its proper divisors (97214040).

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

40143960 is a wasteful number, since it uses less digits than its factorization.

40143960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40143960 is about 6335.9261359331. The cubic root of 40143960 is about 342.4049783464.

The spelling of 40143960 in words is "forty million, one hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 5869 6840 11738 17607 23476 29345 35214 46952 52821 58690 70428 88035 105642 111511 117380 140856 176070 211284 223022 234760 264105 334533 352140 422568 446044 528210 557555 669066 704280 892088 1003599 1056420 1115110 1338132 1672665 2007198 2112840 2230220 2676264 3345330 4014396 4460440 5017995 6690660 8028792 10035990 13381320 20071980 40143960