Search a number
-
+
40210716 = 223713231601
BaseRepresentation
bin1001100101100…
…1000100011100
32210122220201210
42121121010130
540243220331
63553504420
7665533260
oct231310434
983586653
1040210716
11207749a7
1211572110
13843b730
1454aa0a0
1537e4446
hex265911c

40210716 has 96 divisors (see below), whose sum is σ = 120572928. Its totient is φ = 10137600.

The previous prime is 40210679. The next prime is 40210717. The reversal of 40210716 is 61701204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40210692 and 40210701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40210717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24316 + ... + 25916.

It is an arithmetic number, because the mean of its divisors is an integer number (1255968).

Almost surely, 240210716 is an apocalyptic number.

40210716 is a gapful number since it is divisible by the number (46) 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 40210716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60286464).

40210716 is an abundant number, since it is smaller than the sum of its proper divisors (80362212).

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

40210716 is a wasteful number, since it uses less digits than its factorization.

40210716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 40210716 is about 6341.1920015089. The cubic root of 40210716 is about 342.5946700489.

The spelling of 40210716 in words is "forty million, two hundred ten thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1601 1794 1932 2093 3202 3588 4186 4803 6279 6404 8372 9606 11207 12558 19212 20813 22414 25116 33621 36823 41626 44828 62439 67242 73646 83252 110469 124878 134484 145691 147292 220938 249756 257761 291382 437073 441876 478699 515522 582764 773283 874146 957398 1031044 1436097 1546566 1748292 1914796 2872194 3093132 3350893 5744388 6701786 10052679 13403572 20105358 40210716