Search a number
-
+
40072110 = 23513372777
BaseRepresentation
bin1001100011011…
…1001110101110
32210101212121020
42120313032232
540224301420
63550515010
7664415211
oct230671656
983355536
1040072110
112068a851
1211505a66
1383c0610
145471778
1537b8340
hex26373ae

40072110 has 64 divisors (see below), whose sum is σ = 106408512. Its totient is φ = 9593856.

The previous prime is 40072103. The next prime is 40072117. The reversal of 40072110 is 1127004.

It is an interprime number because it is at equal distance from previous prime (40072103) and next prime (40072117).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40072110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40072117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13042 + ... + 15818.

It is an arithmetic number, because the mean of its divisors is an integer number (1662633).

Almost surely, 240072110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40072110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53204256).

40072110 is an abundant number, since it is smaller than the sum of its proper divisors (66336402).

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

40072110 is a wasteful number, since it uses less digits than its factorization.

40072110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 40072110 is about 6330.2535494244. The cubic root of 40072110 is about 342.2005765733.

Adding to 40072110 its reverse (1127004), we get a palindrome (41199114).

The spelling of 40072110 in words is "forty million, seventy-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2777 2886 4810 5554 7215 8331 13885 14430 16662 27770 36101 41655 72202 83310 102749 108303 180505 205498 216606 308247 361010 513745 541515 616494 1027490 1083030 1335737 1541235 2671474 3082470 4007211 6678685 8014422 13357370 20036055 40072110