Search a number
-
+
40707840 = 283510601
BaseRepresentation
bin1001101101001…
…0011100000000
32211121011122210
42123102130000
540410122330
64012302120
71003003515
oct233223400
984534583
1040707840
1120a84448
1211771940
138583aa4
14559930c
1538918b0
hex26d2700

40707840 has 72 divisors (see below), whose sum is σ = 130022928. Its totient is φ = 10854400.

The previous prime is 40707839. The next prime is 40707847. The reversal of 40707840 is 4870704.

It is a super-3 number, since 3×407078403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40707798 and 40707807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40707847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1461 + ... + 9140.

It is an arithmetic number, because the mean of its divisors is an integer number (1805874).

Almost surely, 240707840 is an apocalyptic number.

40707840 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 40707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65011464).

40707840 is an abundant number, since it is smaller than the sum of its proper divisors (89315088).

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

40707840 is a wasteful number, since it uses less digits than its factorization.

40707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 40707840 is about 6380.2695867808. The cubic root of 40707840 is about 344.0007211090. Note that the first 3 decimals are identical.

The spelling of 40707840 in words is "forty million, seven hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 10601 21202 31803 42404 53005 63606 84808 106010 127212 159015 169616 212020 254424 318030 339232 424040 508848 636060 678464 848080 1017696 1272120 1356928 1696160 2035392 2544240 2713856 3392320 4070784 5088480 6784640 8141568 10176960 13569280 20353920 40707840