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40141680 = 2435198803
BaseRepresentation
bin1001100100100…
…0001101110000
32210112102000220
42121020031300
540234013210
63552213040
7665125065
oct231101560
983472026
1040141680
1120728047
121153a180
138416197
14548cc6c
1537cdc70
hex2648370

40141680 has 80 divisors (see below), whose sum is σ = 131003520. Its totient is φ = 10139904.

The previous prime is 40141669. The next prime is 40141681. The reversal of 40141680 is 8614104.

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

It is a super-2 number, since 2×401416802 = 3222708946444800, which contains 22 as substring.

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 40141680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141681) 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, 159 + ... + 8961.

It is an arithmetic number, because the mean of its divisors is an integer number (1637544).

Almost surely, 240141680 is an apocalyptic number.

40141680 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 40141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65501760).

40141680 is an abundant number, since it is smaller than the sum of its proper divisors (90861840).

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

40141680 is a wasteful number, since it uses less digits than its factorization.

40141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 40141680 is about 6335.7462070383. The cubic root of 40141680 is about 342.3984958591.

Adding to 40141680 its reverse (8614104), we get a palindrome (48755784).

The spelling of 40141680 in words is "forty million, one hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 8803 17606 26409 35212 44015 52818 70424 88030 105636 132045 140848 167257 176060 211272 264090 334514 352120 422544 501771 528180 669028 704240 836285 1003542 1056360 1338056 1672570 2007084 2112720 2508855 2676112 3345140 4014168 5017710 6690280 8028336 10035420 13380560 20070840 40141680