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60082272 = 2532229911
BaseRepresentation
bin1110010100110…
…0100001100000
311012001111101100
43211030201200
5110340113042
65543434400
71326455655
oct345144140
9135044340
1060082272
1130a07778
1218155a00
13c5a8553
147d9dc2c
15541c24c
hex394c860

60082272 has 72 divisors (see below), whose sum is σ = 171793440. Its totient is φ = 19918080.

The previous prime is 60082271. The next prime is 60082273. The reversal of 60082272 is 27228006.

It is an interprime number because it is at equal distance from previous prime (60082271) and next prime (60082273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60082271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65497 + ... + 66407.

It is an arithmetic number, because the mean of its divisors is an integer number (2386020).

Almost surely, 260082272 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 60082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85896720).

60082272 is an abundant number, since it is smaller than the sum of its proper divisors (111711168).

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

60082272 is a wasteful number, since it uses less digits than its factorization.

60082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 60082272 is about 7751.2755079406. The cubic root of 60082272 is about 391.6656179440.

The spelling of 60082272 in words is "sixty million, eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 911 916 1374 1822 1832 2061 2733 2748 3644 3664 4122 5466 5496 7288 7328 8199 8244 10932 10992 14576 16398 16488 21864 21984 29152 32796 32976 43728 65592 65952 87456 131184 208619 262368 417238 625857 834476 1251714 1668952 1877571 2503428 3337904 3755142 5006856 6675808 7510284 10013712 15020568 20027424 30041136 60082272