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40163640 = 23351130427
BaseRepresentation
bin1001100100110…
…1100100111000
32210120112011020
42121031210320
540240214030
63552502440
7665246106
oct231154470
983515136
1040163640
11207425a0
121154aa20
13842318a
145496c76
1537d5510
hex264d938

40163640 has 64 divisors (see below), whose sum is σ = 131448960. Its totient is φ = 9736320.

The previous prime is 40163621. The next prime is 40163647. The reversal of 40163640 is 4636104.

It is a super-4 number, since 4×401636404 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40163640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40163647) 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, 13894 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (2053890).

Almost surely, 240163640 is an apocalyptic number.

40163640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40163640 is an abundant number, since it is smaller than the sum of its proper divisors (91285320).

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

40163640 is a wasteful number, since it uses less digits than its factorization.

40163640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30452 (or 30448 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 40163640 is about 6337.4789940480. The cubic root of 40163640 is about 342.4609222470.

Adding to 40163640 its reverse (4636104), we get a palindrome (44799744).

The spelling of 40163640 in words is "forty million, one hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 30427 60854 91281 121708 152135 182562 243416 304270 334697 365124 456405 608540 669394 730248 912810 1004091 1217080 1338788 1673485 1825620 2008182 2677576 3346970 3651240 4016364 5020455 6693940 8032728 10040910 13387880 20081820 40163640