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60094272 = 263761733
BaseRepresentation
bin1110010100111…
…1011101000000
311012002002211210
43211033131000
5110341004042
65544010120
71326535650
oct345173500
9135062753
1060094272
1130a15797
1218160940
13c5b0b54
147da4360
155420a9c
hex394f740

60094272 has 112 divisors (see below), whose sum is σ = 184944512. Its totient is φ = 16865280.

The previous prime is 60094267. The next prime is 60094291. The reversal of 60094272 is 27249006.

It is a happy number.

60094272 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 (112).

It is a super-2 number, since 2×600942722 = 7222643054419968, which contains 22 as substring.

It is a congruent number.

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, 81618 + ... + 82350.

Almost surely, 260094272 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 60094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92472256).

60094272 is an abundant number, since it is smaller than the sum of its proper divisors (124850240).

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

60094272 is a wasteful number, since it uses less digits than its factorization.

60094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 60094272 is about 7752.0495354454. The cubic root of 60094272 is about 391.6916914950.

The spelling of 60094272 in words is "sixty million, ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 733 854 976 1281 1344 1464 1466 1708 1952 2199 2562 2928 2932 3416 3904 4398 5124 5131 5856 5864 6832 8796 10248 10262 11712 11728 13664 15393 17592 20496 20524 23456 27328 30786 35184 40992 41048 44713 46912 61572 70368 81984 82096 89426 123144 134139 140736 164192 178852 246288 268278 312991 328384 357704 492576 536556 625982 715408 938973 985152 1073112 1251964 1430816 1877946 2146224 2503928 2861632 3755892 4292448 5007856 7511784 8584896 10015712 15023568 20031424 30047136 60094272