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320042140 = 2251131167281
BaseRepresentation
bin10011000100110…
…111010010011100
3211022012211021121
4103010313102130
51123412322030
651431340324
710634212315
oct2304672234
9738184247
10320042140
11154723440
128b2216a4
13513c7462
143070d60c
151d16c47a
hex1313749c

320042140 has 96 divisors (see below), whose sum is σ = 764080128. Its totient is φ = 111552000.

The previous prime is 320042123. The next prime is 320042141. The reversal of 320042140 is 41240023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320042141) 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, 1138800 + ... + 1139080.

It is an arithmetic number, because the mean of its divisors is an integer number (7959168).

Almost surely, 2320042140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382040064).

320042140 is an abundant number, since it is smaller than the sum of its proper divisors (444037988).

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

320042140 is a wasteful number, since it uses less digits than its factorization.

320042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 320042140 is about 17889.7216300310. The cubic root of 320042140 is about 684.0204016805.

Adding to 320042140 its reverse (41240023), we get a palindrome (361282163).

The spelling of 320042140 in words is "three hundred twenty million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 167 220 281 310 334 341 562 620 668 682 835 1124 1364 1405 1670 1705 1837 2810 3091 3340 3410 3674 5177 5620 6182 6820 7348 8711 9185 10354 12364 15455 17422 18370 20708 25885 30910 34844 36740 43555 46927 51770 56947 61820 87110 93854 95821 103540 113894 174220 187708 191642 227788 234635 284735 383284 469270 479105 516197 569470 938540 958210 1032394 1138940 1454737 1916420 2064788 2580985 2909474 5161970 5818948 7273685 10323940 14547370 16002107 29094740 32004214 64008428 80010535 160021070 320042140