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239130640 = 24571672557
BaseRepresentation
bin11100100000011…
…01100000010000
3121122222002120101
432100031200100
5442204140030
635421222144
75632401610
oct1620154020
9548862511
10239130640
11112a8a431
1268101954
133a708228
1423a8aa40
1515ed87ca
hexe40d810

239130640 has 80 divisors (see below), whose sum is σ = 639459072. Its totient is φ = 81464832.

The previous prime is 239130601. The next prime is 239130641. The reversal of 239130640 is 46031932.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 239130599 and 239130608.

It is not an unprimeable number, because it can be changed into a prime (239130641) 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, 92242 + ... + 94798.

Almost surely, 2239130640 is an apocalyptic number.

239130640 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 239130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319729536).

239130640 is an abundant number, since it is smaller than the sum of its proper divisors (400328432).

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

239130640 is a wasteful number, since it uses less digits than its factorization.

239130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 239130640 is about 15463.8494560701. The cubic root of 239130640 is about 620.6952312171.

The spelling of 239130640 in words is "two hundred thirty-nine million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1670 2338 2557 2672 3340 4676 5114 5845 6680 9352 10228 11690 12785 13360 17899 18704 20456 23380 25570 35798 40912 46760 51140 71596 89495 93520 102280 143192 178990 204560 286384 357980 427019 715960 854038 1431920 1708076 2135095 2989133 3416152 4270190 5978266 6832304 8540380 11956532 14945665 17080760 23913064 29891330 34161520 47826128 59782660 119565320 239130640