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40134480 = 2435433889
BaseRepresentation
bin1001100100011…
…0011101010000
32210112001011020
42121012131100
540233300410
63552115440
7665065101
oct231063520
983461136
1040134480
11207226a1
1211535b80
138412b19
14548a3a8
1537cba70
hex2646750

40134480 has 80 divisors (see below), whose sum is σ = 127343040. Its totient is φ = 10450944.

The previous prime is 40134473. The next prime is 40134481. The reversal of 40134480 is 8443104.

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

It is a super-2 number, since 2×401344802 = 3221552969740800, 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 40134480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40134481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8376 + ... + 12264.

It is an arithmetic number, because the mean of its divisors is an integer number (1591788).

Almost surely, 240134480 is an apocalyptic number.

40134480 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 40134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63671520).

40134480 is an abundant number, since it is smaller than the sum of its proper divisors (87208560).

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

40134480 is a wasteful number, since it uses less digits than its factorization.

40134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40134480 is about 6335.1779769790. The cubic root of 40134480 is about 342.3780232350.

Adding to 40134480 its reverse (8443104), we get a palindrome (48577584).

The spelling of 40134480 in words is "forty million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 3889 5160 7778 10320 11667 15556 19445 23334 31112 38890 46668 58335 62224 77780 93336 116670 155560 167227 186672 233340 311120 334454 466680 501681 668908 836135 933360 1003362 1337816 1672270 2006724 2508405 2675632 3344540 4013448 5016810 6689080 8026896 10033620 13378160 20067240 40134480