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40063680 = 263354637
BaseRepresentation
bin1001100011010…
…1001011000000
32210101110001000
42120311023000
540224014210
63550412000
7664351506
oct230651300
983343030
1040063680
1120684488
1211501000
1383b9827
14546c676
1537b5ac0
hex26352c0

40063680 has 112 divisors (see below), whose sum is σ = 141366240. Its totient is φ = 10681344.

The previous prime is 40063669. The next prime is 40063691. The reversal of 40063680 is 8636004.

It is an interprime number because it is at equal distance from previous prime (40063669) and next prime (40063691).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6322 + ... + 10958.

Almost surely, 240063680 is an apocalyptic number.

40063680 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 40063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70683120).

40063680 is an abundant number, since it is smaller than the sum of its proper divisors (101302560).

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

40063680 is a wasteful number, since it uses less digits than its factorization.

40063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40063680 is about 6329.5876642954. The cubic root of 40063680 is about 342.1765785593.

Adding to 40063680 its reverse (8636004), we get a palindrome (48699684).

The spelling of 40063680 in words is "forty million, sixty-three thousand, six hundred 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 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 4637 8640 9274 13911 18548 23185 27822 37096 41733 46370 55644 69555 74192 83466 92740 111288 125199 139110 148384 166932 185480 208665 222576 250398 278220 296768 333864 370960 417330 445152 500796 556440 625995 667728 741920 834660 890304 1001592 1112880 1251990 1335456 1483840 1669320 2003184 2225760 2503980 2670912 3338640 4006368 4451520 5007960 6677280 8012736 10015920 13354560 20031840 40063680