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59139320 = 23531371289
BaseRepresentation
bin1110000110011…
…0010011111000
311010021120220012
43201212103320
5110114424240
65511321052
71315450562
oct341462370
9133246805
1059139320
1130423279
1217980188
13c3382a6
147bd6332
1552d2b65
hex38664f8

59139320 has 64 divisors (see below), whose sum is σ = 141177600. Its totient is φ = 22256640.

The previous prime is 59139307. The next prime is 59139329. The reversal of 59139320 is 2393195.

59139320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59139329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45236 + ... + 46524.

It is an arithmetic number, because the mean of its divisors is an integer number (2205900).

Almost surely, 259139320 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 59139320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70588800).

59139320 is an abundant number, since it is smaller than the sum of its proper divisors (82038280).

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

59139320 is a wasteful number, since it uses less digits than its factorization.

59139320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 59139320 is about 7690.2093599589. The cubic root of 59139320 is about 389.6058257164.

The spelling of 59139320 in words is "fifty-nine million, one hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 248 296 310 370 620 740 1147 1240 1289 1480 2294 2578 4588 5156 5735 6445 9176 10312 11470 12890 22940 25780 39959 45880 47693 51560 79918 95386 159836 190772 199795 238465 319672 381544 399590 476930 799180 953860 1478483 1598360 1907720 2956966 5913932 7392415 11827864 14784830 29569660 59139320