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60413472 = 2533721427
BaseRepresentation
bin1110011001110…
…1011000100000
311012200022201000
43212131120200
5110431212342
65554512000
71332335400
oct346353040
9135608630
1060413472
1131113599
1218295600
13c693222
148048800
15548544c
hex399d620

60413472 has 144 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 17248896.

The previous prime is 60413447. The next prime is 60413473. The reversal of 60413472 is 27431406.

60413472 is a `hidden beast` number, since 604 + 13 + 47 + 2 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (60413473) 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, 41623 + ... + 43049.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 260413472 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 60413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

60413472 is an abundant number, since it is smaller than the sum of its proper divisors (144704448).

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

60413472 is a wasteful number, since it uses less digits than its factorization.

60413472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 60413472 is about 7772.6103723267. The cubic root of 60413472 is about 392.3839774995.

Adding to 60413472 its reverse (27431406), we get a palindrome (87844878).

The spelling of 60413472 in words is "sixty million, four hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1427 1512 1568 1764 2016 2352 2646 2854 3024 3528 4281 4704 5292 5708 6048 7056 8562 9989 10584 11416 12843 14112 17124 19978 21168 22832 25686 29967 34248 38529 39956 42336 45664 51372 59934 68496 69923 77058 79912 89901 102744 119868 136992 139846 154116 159824 179802 205488 209769 239736 269703 279692 308232 319648 359604 410976 419538 479472 539406 559384 616464 629307 719208 839076 958944 1078812 1118768 1232928 1258614 1438416 1678152 1887921 2157624 2237536 2517228 2876832 3356304 3775842 4315248 5034456 6712608 7551684 8630496 10068912 15103368 20137824 30206736 60413472