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40143168 = 2633131787
BaseRepresentation
bin1001100100100…
…0100101000000
32210112111002000
42121020211000
540234040133
63552224000
7665132322
oct231104500
983474060
1040143168
112072917a
121153b000
138416a70
14548d612
1537ce413
hex2648940

40143168 has 112 divisors (see below), whose sum is σ = 127162560. Its totient is φ = 12344832.

The previous prime is 40143167. The next prime is 40143179. The reversal of 40143168 is 86134104.

It is a super-2 number, since 2×401431682 = 3222947874152448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40143161) 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, 21571 + ... + 23357.

It is an arithmetic number, because the mean of its divisors is an integer number (1135380).

Almost surely, 240143168 is an apocalyptic number.

40143168 is a gapful number since it is divisible by the number (48) 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 40143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63581280).

40143168 is an abundant number, since it is smaller than the sum of its proper divisors (87019392).

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

40143168 is a wasteful number, since it uses less digits than its factorization.

40143168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1805 counting only the distinct ones).

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

The square root of 40143168 is about 6335.8636348962. The cubic root of 40143168 is about 342.4027265629.

The spelling of 40143168 in words is "forty million, one hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1787 1872 2496 2808 3574 3744 5361 5616 7148 7488 10722 11232 14296 16083 21444 22464 23231 28592 32166 42888 46462 48249 57184 64332 69693 85776 92924 96498 114368 128664 139386 171552 185848 192996 209079 257328 278772 343104 371696 385992 418158 514656 557544 627237 743392 771984 836316 1029312 1115088 1254474 1486784 1543968 1672632 2230176 2508948 3087936 3345264 4460352 5017896 6690528 10035792 13381056 20071584 40143168