Search a number
-
+
60064992 = 25321361263
BaseRepresentation
bin1110010100100…
…0010011100000
311012000121200100
43211020103200
5110334034432
65543222400
71326354411
oct345102340
9135017610
1060064992
11309a5799
1218147a00
13c5a0720
147d97808
15541707c
hex39484e0

60064992 has 144 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 18109440.

The previous prime is 60064987. The next prime is 60064997. The reversal of 60064992 is 29946006.

60064992 is a `hidden beast` number, since 6 + 0 + 0 + 649 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (60064987) and next prime (60064997).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60064997) 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, 228253 + ... + 228515.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 260064992 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 60064992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

60064992 is an abundant number, since it is smaller than the sum of its proper divisors (127610496).

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

60064992 is a wasteful number, since it uses less digits than its factorization.

60064992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 60064992 is about 7750.1607725259. The cubic root of 60064992 is about 391.6280659307.

The spelling of 60064992 in words is "sixty million, sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 234 244 263 288 312 366 416 468 488 526 549 624 732 789 793 936 976 1052 1098 1248 1464 1578 1586 1872 1952 2104 2196 2367 2379 2928 3156 3172 3419 3744 4208 4392 4734 4758 5856 6312 6344 6838 7137 8416 8784 9468 9516 10257 12624 12688 13676 14274 16043 17568 18936 19032 20514 25248 25376 27352 28548 30771 32086 37872 38064 41028 48129 54704 57096 61542 64172 75744 76128 82056 96258 109408 114192 123084 128344 144387 164112 192516 208559 228384 246168 256688 288774 328224 385032 417118 492336 513376 577548 625677 770064 834236 984672 1155096 1251354 1540128 1668472 1877031 2310192 2502708 3336944 3754062 4620384 5005416 6673888 7508124 10010832 15016248 20021664 30032496 60064992