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40134780 = 22325753601
BaseRepresentation
bin1001100100011…
…0100001111100
32210112001120100
42121012201330
540233303110
63552121100
7665066010
oct231064174
983461510
1040134780
1120722944
1211536190
138412cba
14548a540
1537cbbc0
hex264687c

40134780 has 144 divisors (see below), whose sum is σ = 141994944. Its totient is φ = 8985600.

The previous prime is 40134779. The next prime is 40134791. The reversal of 40134780 is 8743104.

It is a super-2 number, since 2×401347802 = 3221601131296800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66480 + ... + 67080.

It is an arithmetic number, because the mean of its divisors is an integer number (986076).

Almost surely, 240134780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70997472).

40134780 is an abundant number, since it is smaller than the sum of its proper divisors (101860164).

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

40134780 is a wasteful number, since it uses less digits than its factorization.

40134780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40134780 is about 6335.2016542491. The cubic root of 40134780 is about 342.3788763099.

Adding to 40134780 its reverse (8743104), we get a palindrome (48877884).

The spelling of 40134780 in words is "forty million, one hundred thirty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 477 530 601 630 636 742 795 954 1060 1113 1202 1260 1484 1590 1803 1855 1908 2226 2385 2404 3005 3180 3339 3606 3710 4207 4452 4770 5409 5565 6010 6678 7212 7420 8414 9015 9540 10818 11130 12020 12621 13356 16695 16828 18030 21035 21636 22260 25242 27045 31853 33390 36060 37863 42070 50484 54090 63105 63706 66780 75726 84140 95559 108180 126210 127412 151452 159265 189315 191118 222971 252420 286677 318530 378630 382236 445942 477795 573354 637060 668913 757260 891884 955590 1114855 1146708 1337826 1433385 1911180 2006739 2229710 2675652 2866770 3344565 4013478 4459420 5733540 6689130 8026956 10033695 13378260 20067390 40134780