Search a number
-
+
40006720 = 2651359163
BaseRepresentation
bin1001100010011…
…1010001000000
32210021112220101
42120213101000
540220203340
63545252144
7664023445
oct230472100
983245811
1040006720
1120645706
1211494054
138399920
1454559cc
1537a3c9a
hex2627440

40006720 has 112 divisors (see below), whose sum is σ = 104973120. Its totient is φ = 14432256.

The previous prime is 40006717. The next prime is 40006739. The reversal of 40006720 is 2760004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245359 + ... + 245521.

It is an arithmetic number, because the mean of its divisors is an integer number (937260).

Almost surely, 240006720 is an apocalyptic number.

40006720 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 40006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52486560).

40006720 is an abundant number, since it is smaller than the sum of its proper divisors (64966400).

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

40006720 is a wasteful number, since it uses less digits than its factorization.

40006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 40006720 is about 6325.0865606725. The cubic root of 40006720 is about 342.0143399935.

Adding to 40006720 its reverse (2760004), we get a palindrome (42766724).

The spelling of 40006720 in words is "forty million, six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 64 65 80 104 118 130 160 163 208 236 260 295 320 326 416 472 520 590 652 767 815 832 944 1040 1180 1304 1534 1630 1888 2080 2119 2360 2608 3068 3260 3776 3835 4160 4238 4720 5216 6136 6520 7670 8476 9440 9617 10432 10595 12272 13040 15340 16952 18880 19234 21190 24544 26080 30680 33904 38468 42380 48085 49088 52160 61360 67808 76936 84760 96170 122720 125021 135616 153872 169520 192340 245440 250042 307744 339040 384680 500084 615488 625105 678080 769360 1000168 1250210 1538720 2000336 2500420 3077440 4000672 5000840 8001344 10001680 20003360 40006720