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40014240 = 2535711909
BaseRepresentation
bin1001100010100…
…1000110100000
32210021221012220
42120221012200
540220423430
63545351040
7664054410
oct230510640
983257186
1040014240
1120650322
1211498480
1383a0186
145458640
1537a6110
hex26291a0

40014240 has 96 divisors (see below), whose sum is σ = 144063360. Its totient is φ = 9145344.

The previous prime is 40014239. The next prime is 40014253. The reversal of 40014240 is 4241004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×400142402 = 3202278805555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (1500660).

Almost surely, 240014240 is an apocalyptic number.

40014240 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 40014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72031680).

40014240 is an abundant number, since it is smaller than the sum of its proper divisors (104049120).

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

40014240 is a wasteful number, since it uses less digits than its factorization.

40014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11934 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40014240 is about 6325.6809910080. The cubic root of 40014240 is about 342.0357679495.

Adding to 40014240 its reverse (4241004), we get a palindrome (44255244).

The spelling of 40014240 in words is "forty million, fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 11909 23818 35727 47636 59545 71454 83363 95272 119090 142908 166726 178635 190544 238180 250089 285816 333452 357270 381088 416815 476360 500178 571632 666904 714540 833630 952720 1000356 1143264 1250445 1333808 1429080 1667260 1905440 2000712 2500890 2667616 2858160 3334520 4001424 5001780 5716320 6669040 8002848 10003560 13338080 20007120 40014240