Search a number
-
+
40016520 = 23325293833
BaseRepresentation
bin1001100010100…
…1101010001000
32210022001100100
42120221222020
540221012040
63545405400
7664064145
oct230515210
983261310
1040016520
1120652005
1211499860
1383a121b
1454593cc
1537a6b30
hex2629a88

40016520 has 96 divisors (see below), whose sum is σ = 134573400. Its totient is φ = 10300416.

The previous prime is 40016507. The next prime is 40016563. The reversal of 40016520 is 2561004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27185796 + 12830724 = 5214^2 + 3582^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40016493 and 40016502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8524 + ... + 12356.

Almost surely, 240016520 is an apocalyptic number.

40016520 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 40016520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67286700).

40016520 is an abundant number, since it is smaller than the sum of its proper divisors (94556880).

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

40016520 is a wasteful number, since it uses less digits than its factorization.

40016520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3872 counting only the distinct ones).

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

The square root of 40016520 is about 6325.8612061916. The cubic root of 40016520 is about 342.0422641930.

Adding to 40016520 its reverse (2561004), we get a palindrome (42577524).

The spelling of 40016520 in words is "forty million, sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 3833 5220 7666 10440 11499 15332 19165 22998 30664 34497 38330 45996 57495 68994 76660 91992 111157 114990 137988 153320 172485 222314 229980 275976 333471 344970 444628 459960 555785 666942 689940 889256 1000413 1111570 1333884 1379880 1667355 2000826 2223140 2667768 3334710 4001652 4446280 5002065 6669420 8003304 10004130 13338840 20008260 40016520