[go: up one dir, main page]

Search a number
-
+
60150012 = 223131737613
BaseRepresentation
bin1110010101110…
…1000011111100
311012011221022020
43211131003330
5110344300022
65545120140
71330160316
oct345350374
9135157266
1060150012
1130a5365a
1218189050
13c600330
147dba7b6
15543235c
hex395d0fc

60150012 has 96 divisors (see below), whose sum is σ = 164630592. Its totient is φ = 16920576.

The previous prime is 60150011. The next prime is 60150019. The reversal of 60150012 is 21005106.

It is a junction number, because it is equal to n+sod(n) for n = 60149973 and 60150000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60150011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97818 + ... + 98430.

It is an arithmetic number, because the mean of its divisors is an integer number (1714902).

Almost surely, 260150012 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 60150012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82315296).

60150012 is an abundant number, since it is smaller than the sum of its proper divisors (104480580).

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

60150012 is a wasteful number, since it uses less digits than its factorization.

60150012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 60150012 is about 7755.6438804267. The cubic root of 60150012 is about 391.8127576538.

Adding to 60150012 its reverse (21005106), we get a palindrome (81155118).

The spelling of 60150012 in words is "sixty million, one hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 37 39 51 52 68 74 78 102 111 148 156 204 221 222 442 444 481 613 629 663 884 962 1226 1258 1326 1443 1839 1887 1924 2452 2516 2652 2886 3678 3774 5772 7356 7548 7969 8177 10421 15938 16354 20842 22681 23907 24531 31263 31876 32708 41684 45362 47814 49062 62526 68043 90724 95628 98124 125052 135473 136086 270946 272172 294853 385577 406419 541892 589706 771154 812838 884559 1156731 1179412 1542308 1625676 1769118 2313462 3538236 4626924 5012501 10025002 15037503 20050004 30075006 60150012