Search a number
-
+
60873696 = 25321371229
BaseRepresentation
bin1110100000110…
…1101111100000
311020112201000100
43220031233200
5111040424241
610012422400
71336263222
oct350155740
9136481010
1060873696
11313a8344
1218477a00
13c7c4850
148128412
1555269b6
hex3a0dbe0

60873696 has 144 divisors (see below), whose sum is σ = 189876960. Its totient is φ = 18385920.

The previous prime is 60873649. The next prime is 60873707. The reversal of 60873696 is 69637806.

60873696 is a `hidden beast` number, since 608 + 7 + 36 + 9 + 6 = 666.

60873696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 265710 + ... + 265938.

It is an arithmetic number, because the mean of its divisors is an integer number (1318590).

Almost surely, 260873696 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 60873696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94938480).

60873696 is an abundant number, since it is smaller than the sum of its proper divisors (129003264).

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

60873696 is a wasteful number, since it uses less digits than its factorization.

60873696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 60873696 is about 7802.1597010059. The cubic root of 60873696 is about 393.3778391339.

The spelling of 60873696 in words is "sixty million, eight hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 208 213 229 234 284 288 312 416 426 458 468 568 624 639 687 852 916 923 936 1136 1248 1278 1374 1704 1832 1846 1872 2061 2272 2556 2748 2769 2977 3408 3664 3692 3744 4122 5112 5496 5538 5954 6816 7328 7384 8244 8307 8931 10224 10992 11076 11908 14768 16259 16488 16614 17862 20448 21984 22152 23816 26793 29536 32518 32976 33228 35724 44304 47632 48777 53586 65036 65952 66456 71448 88608 95264 97554 107172 130072 132912 142896 146331 195108 211367 214344 260144 265824 285792 292662 390216 422734 428688 520288 585324 634101 780432 845468 857376 1170648 1268202 1560864 1690936 1902303 2341296 2536404 3381872 3804606 4682592 5072808 6763744 7609212 10145616 15218424 20291232 30436848 60873696