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60413688 = 23381151
BaseRepresentation
bin1110011001110…
…1011011111000
311012200100000000
43212131123320
5110431214223
65554513000
71332336126
oct346353370
9135610000
1060413688
1131113775
1218295760
13c69335a
148048916
155485543
hex399d6f8

60413688 has 72 divisors (see below), whose sum is σ = 170052480. Its totient is φ = 20120400.

The previous prime is 60413677. The next prime is 60413707. The reversal of 60413688 is 88631406.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×604136882 = 7299627395522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51913 + ... + 53063.

It is an arithmetic number, because the mean of its divisors is an integer number (2361840).

Almost surely, 260413688 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 60413688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85026240).

60413688 is an abundant number, since it is smaller than the sum of its proper divisors (109638792).

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

60413688 is an equidigital number, since it uses as much as digits as its factorization.

60413688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 60413688 is about 7772.6242672601. The cubic root of 60413688 is about 392.3844451371.

The spelling of 60413688 in words is "sixty million, four hundred thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1151 1458 1944 2187 2302 2916 3453 4374 4604 5832 6561 6906 8748 9208 10359 13122 13812 17496 20718 26244 27624 31077 41436 52488 62154 82872 93231 124308 186462 248616 279693 372924 559386 745848 839079 1118772 1678158 2237544 2517237 3356316 5034474 6712632 7551711 10068948 15103422 20137896 30206844 60413688