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60093696 = 283132463
BaseRepresentation
bin1110010100111…
…1010100000000
311012002002001110
43211033110000
5110340444241
65544003320
71326534165
oct345172400
9135062043
1060093696
1130a15313
1218160540
13c5b0800
147da406c
155420816
hex394f500

60093696 has 108 divisors (see below), whose sum is σ = 173560128. Its totient is φ = 18450432.

The previous prime is 60093689. The next prime is 60093721. The reversal of 60093696 is 69639006.

It is a super-2 number, since 2×600936962 = 7222504597880832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129561 + ... + 130023.

Almost surely, 260093696 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 60093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780064).

60093696 is an abundant number, since it is smaller than the sum of its proper divisors (113466432).

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

60093696 is a wasteful number, since it uses less digits than its factorization.

60093696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 60093696 is about 7752.0123838910. The cubic root of 60093696 is about 391.6904400438.

The spelling of 60093696 in words is "sixty million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 463 507 624 676 768 832 926 1014 1248 1352 1389 1664 1852 2028 2496 2704 2778 3328 3704 4056 4992 5408 5556 6019 7408 8112 9984 10816 11112 12038 14816 16224 18057 21632 22224 24076 29632 32448 36114 43264 44448 48152 59264 64896 72228 78247 88896 96304 118528 129792 144456 156494 177792 192608 234741 288912 312988 355584 385216 469482 577824 625976 770432 938964 1155648 1251952 1540864 1877928 2311296 2503904 3755856 4622592 5007808 7511712 10015616 15023424 20031232 30046848 60093696