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40414520 = 23519411297
BaseRepresentation
bin1001101000101…
…0110100111000
32211001021022002
42122022310320
540321231040
64002120132
71000342406
oct232126470
984037262
1040414520
11208a4033
1211650048
1384b0423
145520476
153834a15
hex268ad38

40414520 has 64 divisors (see below), whose sum is σ = 98128800. Its totient is φ = 14929920.

The previous prime is 40414511. The next prime is 40414523. The reversal of 40414520 is 2541404.

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

It is a junction number, because it is equal to n+sod(n) for n = 40414492 and 40414501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30512 + ... + 31808.

Almost surely, 240414520 is an apocalyptic number.

40414520 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 40414520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49064400).

40414520 is an abundant number, since it is smaller than the sum of its proper divisors (57714280).

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

40414520 is a wasteful number, since it uses less digits than its factorization.

40414520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 40414520 is about 6357.2415401650. The cubic root of 40414520 is about 343.1724972210.

Adding to 40414520 its reverse (2541404), we get a palindrome (42955924).

The spelling of 40414520 in words is "forty million, four hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1297 1558 1640 2594 3116 3895 5188 6232 6485 7790 10376 12970 15580 24643 25940 31160 49286 51880 53177 98572 106354 123215 197144 212708 246430 265885 425416 492860 531770 985720 1010363 1063540 2020726 2127080 4041452 5051815 8082904 10103630 20207260 40414520