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40115232 = 2532197331
BaseRepresentation
bin1001100100000…
…1110000100000
32210111001202100
42121001300200
540232141412
63551450400
7664655013
oct231016040
983431670
1040115232
112070a193
1211526a00
138407131
14548337a
1537c5edc
hex2641c20

40115232 has 72 divisors (see below), whose sum is σ = 120098160. Its totient is φ = 12666240.

The previous prime is 40115219. The next prime is 40115239. The reversal of 40115232 is 23251104.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40115239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1807 + ... + 9137.

It is an arithmetic number, because the mean of its divisors is an integer number (1668030).

Almost surely, 240115232 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 40115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60049080).

40115232 is an abundant number, since it is smaller than the sum of its proper divisors (79982928).

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

40115232 is a wasteful number, since it uses less digits than its factorization.

40115232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40115232 is about 6333.6586583112. The cubic root of 40115232 is about 342.3232810617.

Adding to 40115232 its reverse (23251104), we get a palindrome (63366336).

The spelling of 40115232 in words is "forty million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 7331 14662 21993 29324 43986 58648 65979 87972 117296 131958 139289 175944 234592 263916 278578 351888 417867 527832 557156 703776 835734 1055664 1114312 1253601 1671468 2111328 2228624 2507202 3342936 4457248 5014404 6685872 10028808 13371744 20057616 40115232