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60381468 = 223271912611
BaseRepresentation
bin1110011001010…
…1100100011100
311012121200210200
43212111210130
5110424201333
65554103500
71332143160
oct346254434
9135550720
1060381468
11310a1544
121827ab90
13c6817a4
14803aca0
15547ac13
hex399591c

60381468 has 72 divisors (see below), whose sum is σ = 183630720. Its totient is φ = 16342560.

The previous prime is 60381443. The next prime is 60381481. The reversal of 60381468 is 86418306.

It is a happy number.

60381468 is a `hidden beast` number, since 603 + 8 + 1 + 46 + 8 = 666.

60381468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1518 + ... + 11093.

Almost surely, 260381468 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 60381468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91815360).

60381468 is an abundant number, since it is smaller than the sum of its proper divisors (123249252).

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

60381468 is a wasteful number, since it uses less digits than its factorization.

60381468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 60381468 is about 7770.5513317911. The cubic root of 60381468 is about 392.3146768697.

The spelling of 60381468 in words is "sixty million, three hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 12611 25222 37833 50444 75666 88277 113499 151332 176554 226998 239609 264831 353108 453996 479218 529662 718827 794493 958436 1059324 1437654 1588986 1677263 2156481 2875308 3177972 3354526 4312962 5031789 6709052 8625924 10063578 15095367 20127156 30190734 60381468