Search a number
-
+
40522320 = 24325232447
BaseRepresentation
bin1001101010010…
…1001001010000
32211020202011200
42122211021100
540333203240
64004311200
71001301606
oct232451120
984222150
1040522320
1120968023
12116a2500
13851a507
14554b876
153856930
hex26a5250

40522320 has 120 divisors (see below), whose sum is σ = 142062336. Its totient is φ = 10331904.

The previous prime is 40522303. The next prime is 40522333. The reversal of 40522320 is 2322504.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 40522293 and 40522302.

It is a congruent number.

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, 15337 + ... + 17783.

Almost surely, 240522320 is an apocalyptic number.

40522320 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 40522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

40522320 is an abundant number, since it is smaller than the sum of its proper divisors (101540016).

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

40522320 is a wasteful number, since it uses less digits than its factorization.

40522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40522320 is about 6365.7144139523. The cubic root of 40522320 is about 343.4773476541.

Adding to 40522320 its reverse (2322504), we get a palindrome (42844824).

The spelling of 40522320 in words is "forty million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2447 2760 3312 4140 4894 5520 7341 8280 9788 12235 14682 16560 19576 22023 24470 29364 36705 39152 44046 48940 56281 58728 73410 88092 97880 110115 112562 117456 146820 168843 176184 195760 220230 225124 281405 293640 337686 352368 440460 450248 506529 562810 587280 675372 844215 880920 900496 1013058 1125620 1350744 1688430 1761840 2026116 2251240 2532645 2701488 3376860 4052232 4502480 5065290 6753720 8104464 10130580 13507440 20261160 40522320