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40150080 = 263451549
BaseRepresentation
bin1001100100101…
…0010001000000
32210112211120000
42121022101000
540234300310
63552320000
7665161425
oct231122100
983484500
1040150080
1120733393
1211543000
138419c59
145491d4c
1537d14c0
hex264a440

40150080 has 140 divisors (see below), whose sum is σ = 142913100. Its totient is φ = 10699776.

The previous prime is 40150067. The next prime is 40150087. The reversal of 40150080 is 8005104.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 26132544 = 3744^2 + 5112^2 .

It is a super-2 number, since 2×401500802 = 3224057848012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40150087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25146 + ... + 26694.

Almost surely, 240150080 is an apocalyptic number.

40150080 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 40150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71456550).

40150080 is an abundant number, since it is smaller than the sum of its proper divisors (102763020).

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

40150080 is a wasteful number, since it uses less digits than its factorization.

40150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40150080 is about 6336.4090777032. The cubic root of 40150080 is about 342.4223774934.

Adding to 40150080 its reverse (8005104), we get a palindrome (48155184).

The spelling of 40150080 in words is "forty million, one hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1549 1620 1728 2160 2592 2880 3098 3240 4320 4647 5184 6196 6480 7745 8640 9294 12392 12960 13941 15490 18588 23235 24784 25920 27882 30980 37176 41823 46470 49568 55764 61960 69705 74352 83646 92940 99136 111528 123920 125469 139410 148704 167292 185880 209115 223056 247840 250938 278820 297408 334584 371760 418230 446112 495680 501876 557640 627345 669168 743520 836460 892224 1003752 1115280 1254690 1338336 1487040 1672920 2007504 2230560 2509380 2676672 3345840 4015008 4461120 5018760 6691680 8030016 10037520 13383360 20075040 40150080