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235540140 = 2235111672137
BaseRepresentation
bin11100000101000…
…00111010101100
3121102012200022220
432002200322230
5440244241030
635212235340
75560025643
oct1602407254
9542180286
10235540140
11110a57880
1266a6bb50
1339a4bb84
14233d435a
1515a29a10
hexe0a0eac

235540140 has 96 divisors (see below), whose sum is σ = 724114944. Its totient is φ = 56732160.

The previous prime is 235540103. The next prime is 235540141. The reversal of 235540140 is 41045532.

It is a self number, because there is not a number n which added to its sum of digits gives 235540140.

It is not an unprimeable number, because it can be changed into a prime (235540141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109152 + ... + 111288.

It is an arithmetic number, because the mean of its divisors is an integer number (7542864).

Almost surely, 2235540140 is an apocalyptic number.

235540140 is a gapful number since it is divisible by the number (20) 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 235540140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362057472).

235540140 is an abundant number, since it is smaller than the sum of its proper divisors (488574804).

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

235540140 is a wasteful number, since it uses less digits than its factorization.

235540140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 235540140 is about 15347.3170293703. The cubic root of 235540140 is about 617.5730128334.

Adding to 235540140 its reverse (41045532), we get a palindrome (276585672).

The spelling of 235540140 in words is "two hundred thirty-five million, five hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 167 220 330 334 501 660 668 835 1002 1670 1837 2004 2137 2505 3340 3674 4274 5010 5511 6411 7348 8548 9185 10020 10685 11022 12822 18370 21370 22044 23507 25644 27555 32055 36740 42740 47014 55110 64110 70521 94028 110220 117535 128220 141042 235070 282084 352605 356879 470140 705210 713758 1070637 1410420 1427516 1784395 2141274 3568790 3925669 4282548 5353185 7137580 7851338 10706370 11777007 15702676 19628345 21412740 23554014 39256690 47108028 58885035 78513380 117770070 235540140