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40240640 = 295111429
BaseRepresentation
bin1001100110000…
…0011000000000
32210201102210002
42121200120000
540300200030
63554255132
7666016436
oct231403000
983642702
1040240640
1120795430
12115874a8
13844c23b
1454b6d56
1537ed245
hex2660600

40240640 has 80 divisors (see below), whose sum is σ = 105328080. Its totient is φ = 14622720.

The previous prime is 40240637. The next prime is 40240657. The reversal of 40240640 is 4604204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27446 + ... + 28874.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601).

Almost surely, 240240640 is an apocalyptic number.

40240640 is a gapful number since it is divisible by the number (40) 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 40240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52664040).

40240640 is an abundant number, since it is smaller than the sum of its proper divisors (65087440).

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

40240640 is a wasteful number, since it uses less digits than its factorization.

40240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40240640 is about 6343.5510559938. The cubic root of 40240640 is about 342.6796329801.

Adding to 40240640 its reverse (4604204), we get a palindrome (44844844).

The spelling of 40240640 in words is "forty million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1429 1760 2560 2816 2858 3520 5632 5716 7040 7145 11432 14080 14290 15719 22864 28160 28580 31438 45728 57160 62876 78595 91456 114320 125752 157190 182912 228640 251504 314380 365824 457280 503008 628760 731648 914560 1006016 1257520 1829120 2012032 2515040 3658240 4024064 5030080 8048128 10060160 20120320 40240640