Search a number
-
+
59680116 = 223267109227
BaseRepresentation
bin1110001110101…
…0010101110100
311011022001201200
43203222111310
5110234230431
65531052500
71323162336
oct343522564
9134261650
1059680116
1130762611
1217ba1130
13c4974a2
147cd7456
15538cee6
hex38ea574

59680116 has 72 divisors (see below), whose sum is σ = 155195040. Its totient is φ = 19331136.

The previous prime is 59680099. The next prime is 59680129. The reversal of 59680116 is 61108695.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262795 + ... + 263021.

Almost surely, 259680116 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 59680116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77597520).

59680116 is an abundant number, since it is smaller than the sum of its proper divisors (95514924).

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

59680116 is a wasteful number, since it uses less digits than its factorization.

59680116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 59680116 is about 7725.2906741429. The cubic root of 59680116 is about 390.7897998691.

The spelling of 59680116 in words is "fifty-nine million, six hundred eighty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 67 109 134 201 218 227 268 327 402 436 454 603 654 681 804 908 981 1206 1308 1362 1962 2043 2412 2724 3924 4086 7303 8172 14606 15209 21909 24743 29212 30418 43818 45627 49486 60836 65727 74229 87636 91254 98972 131454 136881 148458 182508 222687 262908 273762 296916 445374 547524 890748 1657781 3315562 4973343 6631124 9946686 14920029 19893372 29840058 59680116