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59017420 = 225711192017
BaseRepresentation
bin1110000100100…
…0100011001100
311010001101200101
43201020203030
5110102024140
65504540444
71314432310
oct341104314
9133041611
1059017420
113034a730
1217921724
13c2c4967
147ba3b40
1552ab99a
hex38488cc

59017420 has 96 divisors (see below), whose sum is σ = 162731520. Its totient is φ = 17418240.

The previous prime is 59017417. The next prime is 59017429. The reversal of 59017420 is 2471095.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (59017429) 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, 28252 + ... + 30268.

It is an arithmetic number, because the mean of its divisors is an integer number (1695120).

Almost surely, 259017420 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 59017420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81365760).

59017420 is an abundant number, since it is smaller than the sum of its proper divisors (103714100).

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

59017420 is a wasteful number, since it uses less digits than its factorization.

59017420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 59017420 is about 7682.2796095951. The cubic root of 59017420 is about 389.3379519401.

The spelling of 59017420 in words is "fifty-nine million, seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2017 2090 2660 2926 4034 4180 5852 7315 8068 10085 14119 14630 20170 22187 28238 29260 38323 40340 44374 56476 70595 76646 88748 110935 141190 153292 155309 191615 221870 268261 282380 310618 383230 421553 443740 536522 621236 766460 776545 843106 1073044 1341305 1553090 1686212 2107765 2682610 2950871 3106180 4215530 5365220 5901742 8431060 11803484 14754355 29508710 59017420