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40260072 = 23331531021
BaseRepresentation
bin1001100110010…
…1000111101000
32210202102102210
42121211013220
540301310242
63554525120
7666130206
oct231450750
983672383
1040260072
11207a8a96
12115967a0
138458038
1454c0076
153803d9c
hex26651e8

40260072 has 64 divisors (see below), whose sum is σ = 105960960. Its totient is φ = 12729600.

The previous prime is 40260071. The next prime is 40260089. The reversal of 40260072 is 27006204.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40260071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38922 + ... + 39942.

It is an arithmetic number, because the mean of its divisors is an integer number (1655640).

Almost surely, 240260072 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 40260072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

40260072 is an abundant number, since it is smaller than the sum of its proper divisors (65700888).

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

40260072 is a wasteful number, since it uses less digits than its factorization.

40260072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40260072 is about 6345.0825053737. The cubic root of 40260072 is about 342.7347835200.

Adding to 40260072 its reverse (27006204), we get a palindrome (67266276).

The spelling of 40260072 in words is "forty million, two hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1021 1272 1643 2042 3063 3286 4084 4929 6126 6572 8168 9858 12252 13144 19716 24504 31651 39432 54113 63302 94953 108226 126604 162339 189906 216452 253208 324678 379812 432904 649356 759624 1298712 1677503 3355006 5032509 6710012 10065018 13420024 20130036 40260072