Search a number
-
+
60145072 = 241332959
BaseRepresentation
bin1110010101101…
…1110110110000
311012011200112021
43211123312300
5110344120242
65545041224
71330140031
oct345336660
9135150467
1060145072
1130a4a979
1218186214
13c5cb000
147db8a88
155430b67
hex395bdb0

60145072 has 80 divisors (see below), whose sum is σ = 132804000. Its totient is φ = 26347776.

The previous prime is 60145049. The next prime is 60145079. The reversal of 60145072 is 27054106.

It is not an unprimeable number, because it can be changed into a prime (60145079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1019379 + ... + 1019437.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 260145072 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 60145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402000).

60145072 is an abundant number, since it is smaller than the sum of its proper divisors (72658928).

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

60145072 is a wasteful number, since it uses less digits than its factorization.

60145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 60145072 is about 7755.3253961391. The cubic root of 60145072 is about 391.8020310945.

Adding to 60145072 its reverse (27054106), we get a palindrome (87199178).

The spelling of 60145072 in words is "sixty million, one hundred forty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 59 104 116 118 169 208 232 236 338 377 464 472 676 754 767 944 1352 1508 1534 1711 2197 2704 3016 3068 3422 4394 4901 6032 6136 6844 8788 9802 9971 12272 13688 17576 19604 19942 22243 27376 35152 39208 39884 44486 63713 78416 79768 88972 127426 129623 159536 177944 254852 259246 289159 355888 509704 518492 578318 1019408 1036984 1156636 2073968 2313272 3759067 4626544 7518134 15036268 30072536 60145072