Search a number
-
+
426535680 = 2835277401
BaseRepresentation
bin11001011011000…
…110101100000000
31002201121020221210
4121123012230000
51333143120210
6110154050120
713366331154
oct3133065400
91081536853
10426535680
111a984a62a
12baa19940
136a4a279c
1440911064
15276a5e20
hex196c6b00

426535680 has 144 divisors (see below), whose sum is σ = 1370575584. Its totient is φ = 113049600.

The previous prime is 426535673. The next prime is 426535687. The reversal of 426535680 is 86535624.

It is an interprime number because it is at equal distance from previous prime (426535673) and next prime (426535687).

It is not an unprimeable number, because it can be changed into a prime (426535687) 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, 1063480 + ... + 1063880.

It is an arithmetic number, because the mean of its divisors is an integer number (9517886).

Almost surely, 2426535680 is an apocalyptic number.

426535680 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 426535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685287792).

426535680 is an abundant number, since it is smaller than the sum of its proper divisors (944039904).

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

426535680 is a wasteful number, since it uses less digits than its factorization.

426535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 426535680 is about 20652.7402540196. The cubic root of 426535680 is about 752.7517757369.

The spelling of 426535680 in words is "four hundred twenty-six million, five hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 277 320 384 401 480 554 640 768 802 831 960 1108 1203 1280 1385 1604 1662 1920 2005 2216 2406 2770 3208 3324 3840 4010 4155 4432 4812 5540 6015 6416 6648 8020 8310 8864 9624 11080 12030 12832 13296 16040 16620 17728 19248 22160 24060 25664 26592 32080 33240 35456 38496 44320 48120 51328 53184 64160 66480 70912 76992 88640 96240 102656 106368 111077 128320 132960 153984 177280 192480 212736 222154 256640 265920 307968 333231 354560 384960 444308 513280 531840 555385 666462 769920 888616 1063680 1110770 1332924 1539840 1666155 1777232 2221540 2665848 3332310 3554464 4443080 5331696 6664620 7108928 8886160 10663392 13329240 14217856 17772320 21326784 26658480 28435712 35544640 42653568 53316960 71089280 85307136 106633920 142178560 213267840 426535680