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60084096 = 273236803
BaseRepresentation
bin1110010100110…
…0111110000000
311012001120212220
43211030332000
5110340142341
65543451040
71326464202
oct345147600
9135046786
1060084096
1130a09086
1218156a80
13c5a9327
147da0772
15541ca66
hex394cf80

60084096 has 64 divisors (see below), whose sum is σ = 166561920. Its totient is φ = 19154432.

The previous prime is 60084071. The next prime is 60084131. The reversal of 60084096 is 69048006.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×600840962 = 7220197184274432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5431 + ... + 12233.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 260084096 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 60084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

60084096 is an abundant number, since it is smaller than the sum of its proper divisors (106477824).

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

60084096 is a wasteful number, since it uses less digits than its factorization.

60084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 60084096 is about 7751.3931651026. The cubic root of 60084096 is about 391.6695813475.

The spelling of 60084096 in words is "sixty million, eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 6803 8832 13606 20409 27212 40818 54424 81636 108848 156469 163272 217696 312938 326544 435392 469407 625876 653088 870784 938814 1251752 1306176 1877628 2503504 2612352 3755256 5007008 7510512 10014016 15021024 20028032 30042048 60084096