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235393840 = 24511267493
BaseRepresentation
bin11100000011111…
…01001100110000
3121101221020122101
432001331030300
5440230100330
635205150144
75555546263
oct1601751460
9541836571
10235393840
11110967970
12669bb354
13399ca3c6
1423396cda
15159eb4ca
hexe07d330

235393840 has 40 divisors (see below), whose sum is σ = 597046608. Its totient is φ = 85597440.

The previous prime is 235393733. The next prime is 235393853. The reversal of 235393840 is 48393532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 235393840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132867 + ... + 134626.

Almost surely, 2235393840 is an apocalyptic number.

235393840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235393840 is an abundant number, since it is smaller than the sum of its proper divisors (361652768).

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

235393840 is a wasteful number, since it uses less digits than its factorization.

235393840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267517 (or 267511 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 235393840 is about 15342.5499836240. The cubic root of 235393840 is about 617.4451228913.

The spelling of 235393840 in words is "two hundred thirty-five million, three hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 267493 534986 1069972 1337465 2139944 2674930 2942423 4279888 5349860 5884846 10699720 11769692 14712115 21399440 23539384 29424230 47078768 58848460 117696920 235393840