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61004328 = 23371123001
BaseRepresentation
bin1110100010110…
…1101000101000
311020210100012120
43220231220220
5111104114303
610015311240
71340346120
oct350555050
9136710176
1061004328
1131487500
121851b520
13c83c148
14815dc80
155550553
hex3a2da28

61004328 has 96 divisors (see below), whose sum is σ = 191647680. Its totient is φ = 15840000.

The previous prime is 61004327. The next prime is 61004341. The reversal of 61004328 is 82340016.

It is a happy number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61004298 and 61004307.

It is not an unprimeable number, because it can be changed into a prime (61004327) 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, 18828 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (1996330).

Almost surely, 261004328 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 61004328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95823840).

61004328 is an abundant number, since it is smaller than the sum of its proper divisors (130643352).

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

61004328 is a wasteful number, since it uses less digits than its factorization.

61004328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61004328 is about 7810.5267428004. The cubic root of 61004328 is about 393.6590280134.

The spelling of 61004328 in words is "sixty-one million, four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3001 3388 5082 6002 6776 9003 10164 12004 18006 20328 21007 24008 33011 36012 42014 63021 66022 72024 84028 99033 126042 132044 168056 198066 231077 252084 264088 363121 396132 462154 504168 693231 726242 792264 924308 1089363 1386462 1452484 1848616 2178726 2541847 2772924 2904968 4357452 5083694 5545848 7625541 8714904 10167388 15251082 20334776 30502164 61004328