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40143120 = 2435179839
BaseRepresentation
bin1001100100100…
…0100100010000
32210112111000020
42121020210100
540234034440
63552223440
7665132223
oct231104420
983474006
1040143120
1120729136
121153ab80
138416a34
14548d5ba
1537ce3d0
hex2648910

40143120 has 80 divisors (see below), whose sum is σ = 131777280. Its totient is φ = 10074112.

The previous prime is 40143107. The next prime is 40143127. The reversal of 40143120 is 2134104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401431202 = 3222940166668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40143120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40143127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840 + ... + 8999.

It is an arithmetic number, because the mean of its divisors is an integer number (1647216).

Almost surely, 240143120 is an apocalyptic number.

40143120 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 40143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65888640).

40143120 is an abundant number, since it is smaller than the sum of its proper divisors (91634160).

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

40143120 is a wasteful number, since it uses less digits than its factorization.

40143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 9866 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40143120 is about 6335.8598469347. The cubic root of 40143120 is about 342.4025900902.

Adding to 40143120 its reverse (2134104), we get a palindrome (42277224).

The spelling of 40143120 in words is "forty million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 9839 19678 29517 39356 49195 59034 78712 98390 118068 147585 157424 167263 196780 236136 295170 334526 393560 472272 501789 590340 669052 787120 836315 1003578 1180680 1338104 1672630 2007156 2361360 2508945 2676208 3345260 4014312 5017890 6690520 8028624 10035780 13381040 20071560 40143120