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60760064 = 2137417
BaseRepresentation
bin1110011111001…
…0000000000000
311020022221010202
43213302000000
5111023310224
610010144332
71335311021
oct347620000
9136287122
1060760064
113132aa32
12184220a8
13c784c01
1480d8c48
155502eae
hex39f2000

60760064 has 28 divisors (see below), whose sum is σ = 121529094. Its totient is φ = 30375936.

The previous prime is 60760061. The next prime is 60760069. The reversal of 60760064 is 46006706.

It can be written as a sum of positive squares in only one way, i.e., 43454464 + 17305600 = 6592^2 + 4160^2 .

It is not an unprimeable number, because it can be changed into a prime (60760061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4484 + ... + 11900.

Almost surely, 260760064 is an apocalyptic number.

60760064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60764547).

60760064 is an abundant number, since it is smaller than the sum of its proper divisors (60769030).

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

60760064 is an frugal number, since it uses more digits than its factorization.

60760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 60760064 is about 7794.8742132250. The cubic root of 60760064 is about 393.1329158680.

The spelling of 60760064 in words is "sixty million, seven hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 7417 8192 14834 29668 59336 118672 237344 474688 949376 1898752 3797504 7595008 15190016 30380032 60760064