Search a number
-
+
60516672 = 2631953313
BaseRepresentation
bin1110011011011…
…0100101000000
311012212120021020
43212312211000
5110443013142
610001025440
71333245306
oct346664500
9135776236
1060516672
1131184087
1218325280
13c6cb1a8
148074276
1554a5cec
hex39b6940

60516672 has 112 divisors (see below), whose sum is σ = 172272960. Its totient is φ = 18690048.

The previous prime is 60516671. The next prime is 60516689. The reversal of 60516672 is 27661506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60516671) 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, 193188 + ... + 193500.

Almost surely, 260516672 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 60516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86136480).

60516672 is an abundant number, since it is smaller than the sum of its proper divisors (111756288).

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

60516672 is a wasteful number, since it uses less digits than its factorization.

60516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 60516672 is about 7779.2462359794. The cubic root of 60516672 is about 392.6072775313.

The spelling of 60516672 in words is "sixty million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 152 159 192 212 228 304 313 318 424 456 608 626 636 848 912 939 1007 1216 1252 1272 1696 1824 1878 2014 2504 2544 3021 3392 3648 3756 4028 5008 5088 5947 6042 7512 8056 10016 10176 11894 12084 15024 16112 16589 17841 20032 23788 24168 30048 32224 33178 35682 47576 48336 49767 60096 64448 66356 71364 95152 96672 99534 132712 142728 190304 193344 199068 265424 285456 315191 380608 398136 530848 570912 630382 796272 945573 1061696 1141824 1260764 1592544 1891146 2521528 3185088 3782292 5043056 7564584 10086112 15129168 20172224 30258336 60516672