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60064264 = 23131753641
BaseRepresentation
bin1110010100100…
…0001000001000
311012000120200101
43211020020020
5110334024024
65543215144
71326352321
oct345101010
9135016611
1060064264
11309a5197
12181474b4
13c5a02b0
147d97448
155416c44
hex3948208

60064264 has 64 divisors (see below), whose sum is σ = 131045040. Its totient is φ = 25559040.

The previous prime is 60064223. The next prime is 60064273. The reversal of 60064264 is 46246006.

It can be written as a sum of positive squares in 8 ways, for example, as 47032164 + 13032100 = 6858^2 + 3610^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93384 + ... + 94024.

Almost surely, 260064264 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 60064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65522520).

60064264 is an abundant number, since it is smaller than the sum of its proper divisors (70980776).

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

60064264 is a wasteful number, since it uses less digits than its factorization.

60064264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 60064264 is about 7750.1138056160. The cubic root of 60064264 is about 391.6264837202.

It can be divided in two parts, 60064 and 264, that multiplied together give a triangular number (15856896 = T5631).

The spelling of 60064264 in words is "sixty million, sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 424 442 641 689 884 901 1282 1378 1768 1802 2564 2756 3604 5128 5512 7208 8333 10897 11713 16666 21794 23426 33332 33973 43588 46852 66664 67946 87176 93704 135892 141661 271784 283322 441649 566644 577541 883298 1133288 1155082 1766596 2310164 3533192 4620328 7508033 15016066 30032132 60064264