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60676064 = 2541103449
BaseRepresentation
bin1110011101110…
…1011111100000
311020011122220122
43213131133200
5111013113224
610004255412
71334511101
oct347353740
9136148818
1060676064
1131282909
12183a1568
13c7558c7
1480b63a8
1554d815e
hex39dd7e0

60676064 has 48 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 29245440.

The previous prime is 60676061. The next prime is 60676097. The reversal of 60676064 is 46067606.

60676064 = 1202 + 1212 + ... + 5682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60676061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134912 + ... + 135360.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 260676064 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 60676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

60676064 is an abundant number, since it is smaller than the sum of its proper divisors (63156736).

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

60676064 is a wasteful number, since it uses less digits than its factorization.

60676064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 60676064 is about 7789.4841934495. The cubic root of 60676064 is about 392.9516652653.

The spelling of 60676064 in words is "sixty million, six hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 82 103 164 206 328 412 449 656 824 898 1312 1648 1796 3296 3592 4223 7184 8446 14368 16892 18409 33784 36818 46247 67568 73636 92494 135136 147272 184988 294544 369976 589088 739952 1479904 1896127 3792254 7584508 15169016 30338032 60676064