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60820032 = 263713592
BaseRepresentation
bin1110100000000…
…0101001000000
311020102222101210
43220000221000
5111032220112
610011330120
71335650610
oct350005100
9136388353
1060820032
1131370a99
1218450940
13c7a62b0
148112a40
155515b3c
hex3a00a40

60820032 has 168 divisors, whose sum is σ = 201468736. Its totient is φ = 15768576.

The previous prime is 60820031. The next prime is 60820037. The reversal of 60820032 is 23002806.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 60819990 and 60820008.

It is not an unprimeable number, because it can be changed into a prime (60820031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030819 + ... + 1030877.

Almost surely, 260820032 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 60820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100734368).

60820032 is an abundant number, since it is smaller than the sum of its proper divisors (140648704).

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

60820032 is a wasteful number, since it uses less digits than its factorization.

60820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 60820032 is about 7798.7198949571. The cubic root of 60820032 is about 393.2622093621.

Adding to 60820032 its reverse (23002806), we get a palindrome (83822838).

The spelling of 60820032 in words is "sixty million, eight hundred twenty thousand, thirty-two".