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60706464 = 2537136949
BaseRepresentation
bin1110011110010…
…0111010100000
311020020012121120
43213210322200
5111020101324
610005052240
71334665530
oct347447240
9136205546
1060706464
11312a3735
12183b7080
13c7666b0
1480c34c0
1554e2179
hex39e4ea0

60706464 has 96 divisors (see below), whose sum is σ = 196156800. Its totient is φ = 16008192.

The previous prime is 60706447. The next prime is 60706493. The reversal of 60706464 is 46460706.

60706464 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 12210.

It is an arithmetic number, because the mean of its divisors is an integer number (2043300).

Almost surely, 260706464 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 60706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98078400).

60706464 is an abundant number, since it is smaller than the sum of its proper divisors (135450336).

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

60706464 is a wasteful number, since it uses less digits than its factorization.

60706464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 60706464 is about 7791.4352978126. The cubic root of 60706464 is about 393.0172800254.

The spelling of 60706464 in words is "sixty million, seven hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 6949 8736 13898 20847 27796 41694 48643 55592 83388 90337 97286 111184 145929 166776 180674 194572 222368 271011 291858 333552 361348 389144 542022 583716 632359 667104 722696 778288 1084044 1167432 1264718 1445392 1556576 1897077 2168088 2334864 2529436 2890784 3794154 4336176 4669728 5058872 7588308 8672352 10117744 15176616 20235488 30353232 60706464