Search a number
-
+
60090768 = 2433197321
BaseRepresentation
bin1110010100111…
…0100110010000
311012001221001000
43211032212100
5110340401033
65543542000
71326522513
oct345164620
9135057030
1060090768
1130a130a1
121815a900
13c5ac38a
147da2d7a
15541ea13
hex394e990

60090768 has 80 divisors (see below), whose sum is σ = 181585600. Its totient is φ = 18973440.

The previous prime is 60090757. The next prime is 60090773. The reversal of 60090768 is 86709006.

It is a super-2 number, since 2×600907682 = 7221800797659648, which contains 22 as substring.

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

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, 4548 + ... + 11868.

It is an arithmetic number, because the mean of its divisors is an integer number (2269820).

Almost surely, 260090768 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 60090768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90792800).

60090768 is an abundant number, since it is smaller than the sum of its proper divisors (121494832).

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

60090768 is a wasteful number, since it uses less digits than its factorization.

60090768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 60090768 is about 7751.8235274031. The cubic root of 60090768 is about 391.6840783769.

The spelling of 60090768 in words is "sixty million, ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 7321 8208 14642 21963 29284 43926 58568 65889 87852 117136 131778 139099 175704 197667 263556 278198 351408 395334 417297 527112 556396 790668 834594 1054224 1112792 1251891 1581336 1669188 2225584 2503782 3162672 3338376 3755673 5007564 6676752 7511346 10015128 15022692 20030256 30045384 60090768