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60114768 = 2437261419
BaseRepresentation
bin1110010101010…
…0011101010000
311012010010221220
43211110131100
5110342133033
65544245040
71326652500
oct345243520
9135103856
1060114768
1130a2a12a
1218170780
13c5ba28c
147daba00
155426bb3
hex3954750

60114768 has 120 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 16853760.

The previous prime is 60114763. The next prime is 60114781. The reversal of 60114768 is 86741106.

It is a happy number.

It is a super-2 number, since 2×601147682 = 7227570663387648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60114763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143263 + ... + 143681.

It is an arithmetic number, because the mean of its divisors is an integer number (1533756).

Almost surely, 260114768 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 60114768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

60114768 is an abundant number, since it is smaller than the sum of its proper divisors (123935952).

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

60114768 is a wasteful number, since it uses less digits than its factorization.

60114768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 60114768 is about 7753.3713957220. The cubic root of 60114768 is about 391.7362170940.

The spelling of 60114768 in words is "sixty million, one hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 419 427 488 588 732 784 838 854 976 1176 1257 1281 1464 1676 1708 2352 2514 2562 2928 2933 2989 3352 3416 5028 5124 5866 5978 6704 6832 8799 8967 10056 10248 11732 11956 17598 17934 20112 20496 20531 23464 23912 25559 35196 35868 41062 46928 47824 51118 61593 70392 71736 76677 82124 102236 123186 140784 143472 153354 164248 178913 204472 246372 306708 328496 357826 408944 492744 536739 613416 715652 985488 1073478 1226832 1252391 1431304 2146956 2504782 2862608 3757173 4293912 5009564 7514346 8587824 10019128 15028692 20038256 30057384 60114768