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40570920 = 23325138669
BaseRepresentation
bin1001101011000…
…1000000101000
32211100012211200
42122301000220
540341232140
64005324200
71001563365
oct232610050
984305750
1040570920
11209a0595
1211706660
138536680
14556146c
153866030
hex26b1028

40570920 has 96 divisors (see below), whose sum is σ = 142014600. Its totient is φ = 9985536.

The previous prime is 40570889. The next prime is 40570927. The reversal of 40570920 is 2907504.

40570920 is a `hidden beast` number, since 4 + 0 + 570 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24265476 + 16305444 = 4926^2 + 4038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40570927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346 + ... + 9014.

Almost surely, 240570920 is an apocalyptic number.

40570920 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 40570920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71007300).

40570920 is an abundant number, since it is smaller than the sum of its proper divisors (101443680).

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

40570920 is a wasteful number, since it uses less digits than its factorization.

40570920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40570920 is about 6369.5305949497. The cubic root of 40570920 is about 343.6146080579.

The spelling of 40570920 in words is "forty million, five hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 8669 17338 26007 34676 43345 52014 69352 78021 86690 104028 112697 130035 156042 173380 208056 225394 260070 312084 338091 346760 390105 450788 520140 563485 624168 676182 780210 901576 1014273 1040280 1126970 1352364 1560420 1690455 2028546 2253940 2704728 3120840 3380910 4057092 4507880 5071365 6761820 8114184 10142730 13523640 20285460 40570920