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235289040 = 24357140053
BaseRepresentation
bin11100000011000…
…11100111010000
3121101201220212220
432001203213100
5440213222130
635203021040
75554631610
oct1601434720
9541656786
10235289040
111108a6158
126696a780
13399917ac
142336aa40
15159ca410
hexe0639d0

235289040 has 80 divisors (see below), whose sum is σ = 833601408. Its totient is φ = 53779968.

The previous prime is 235288987. The next prime is 235289071. The reversal of 235289040 is 40982532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 235288992 and 235289010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68347 + ... + 71706.

Almost surely, 2235289040 is an apocalyptic number.

235289040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235289040 is an abundant number, since it is smaller than the sum of its proper divisors (598312368).

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

235289040 is a wasteful number, since it uses less digits than its factorization.

235289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140076 (or 140070 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 235289040 is about 15339.1342650099. The cubic root of 235289040 is about 617.3534781054.

The spelling of 235289040 in words is "two hundred thirty-five million, two hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 140053 280106 420159 560212 700265 840318 980371 1120424 1400530 1680636 1960742 2100795 2240848 2801060 2941113 3361272 3921484 4201590 4901855 5602120 5882226 6722544 7842968 8403180 9803710 11204240 11764452 14705565 15685936 16806360 19607420 23528904 29411130 33612720 39214840 47057808 58822260 78429680 117644520 235289040