Search a number
-
+
40178736 = 2432133127
BaseRepresentation
bin1001100101000…
…1010000110000
32210121021212100
42121101100300
540241204421
63553100400
7665341113
oct231212060
983537770
1040178736
1120752974
1211557700
13842a000
14549c57a
1537d9c26
hex2651430

40178736 has 120 divisors (see below), whose sum is σ = 122769920. Its totient is φ = 12265344.

The previous prime is 40178713. The next prime is 40178767. The reversal of 40178736 is 63787104.

It is a super-2 number, since 2×401787362 = 3228661653115392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 40178736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316305 + ... + 316431.

Almost surely, 240178736 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 40178736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61384960).

40178736 is an abundant number, since it is smaller than the sum of its proper divisors (82591184).

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

40178736 is a wasteful number, since it uses less digits than its factorization.

40178736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 40178736 is about 6338.6698920199. The cubic root of 40178736 is about 342.5038229278.

The spelling of 40178736 in words is "forty million, one hundred seventy-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 169 208 234 254 312 338 381 468 507 508 624 676 762 936 1014 1016 1143 1352 1521 1524 1651 1872 2028 2032 2197 2286 2704 3042 3048 3302 4056 4394 4572 4953 6084 6096 6591 6604 8112 8788 9144 9906 12168 13182 13208 14859 17576 18288 19773 19812 21463 24336 26364 26416 29718 35152 39546 39624 42926 52728 59436 64389 79092 79248 85852 105456 118872 128778 158184 171704 193167 237744 257556 279019 316368 343408 386334 515112 558038 772668 837057 1030224 1116076 1545336 1674114 2232152 2511171 3090672 3348228 4464304 5022342 6696456 10044684 13392912 20089368 40178736