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235427040 = 2533554497
BaseRepresentation
bin11100000100001…
…01010011100000
3121101222221012000
432002011103200
5440232131130
635210004000
75556045132
oct1602052340
9541887160
10235427040
1111098a902
1266a16600
1339a0c554
14233a5052
1515a06260
hexe0854e0

235427040 has 96 divisors (see below), whose sum is σ = 824009760. Its totient is φ = 62779392.

The previous prime is 235427039. The next prime is 235427047. The reversal of 235427040 is 40724532.

235427040 is a `hidden beast` number, since 2 + 354 + 270 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 235426995 and 235427013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235427047) 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, 22929 + ... + 31568.

It is an arithmetic number, because the mean of its divisors is an integer number (8583435).

Almost surely, 2235427040 is an apocalyptic number.

235427040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235427040 is an abundant number, since it is smaller than the sum of its proper divisors (588582720).

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

235427040 is a wasteful number, since it uses less digits than its factorization.

235427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54521 (or 54507 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 235427040 is about 15343.6319038225. The cubic root of 235427040 is about 617.4741497262.

The spelling of 235427040 in words is "two hundred thirty-five million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 54497 108994 163491 217988 272485 326982 435976 490473 544970 653964 817455 871952 980946 1089940 1307928 1471419 1634910 1743904 1961892 2179880 2452365 2615856 2942838 3269820 3923784 4359760 4904730 5231712 5885676 6539640 7357095 7847568 8719520 9809460 11771352 13079280 14714190 15695136 19618920 23542704 26158560 29428380 39237840 47085408 58856760 78475680 117713520 235427040