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61196460 = 223513671171
BaseRepresentation
bin1110100101110…
…0100010101100
311021011002202120
43221130202230
5111131241320
610023352540
71342106223
oct351344254
9137132676
1061196460
11315a8896
12185b2750
13c8a8730
1481adcba
15558c440
hex3a5c8ac

61196460 has 96 divisors (see below), whose sum is σ = 187444992. Its totient is φ = 14826240.

The previous prime is 61196453. The next prime is 61196497. The reversal of 61196460 is 6469116.

61196460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51675 + ... + 52845.

It is an arithmetic number, because the mean of its divisors is an integer number (1952552).

Almost surely, 261196460 is an apocalyptic number.

61196460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61196460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93722496).

61196460 is an abundant number, since it is smaller than the sum of its proper divisors (126248532).

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

61196460 is a wasteful number, since it uses less digits than its factorization.

61196460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 61196460 is about 7822.8166282996. The cubic root of 61196460 is about 394.0718688415.

The spelling of 61196460 in words is "sixty-one million, one hundred ninety-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1171 1340 1742 2010 2342 2613 3484 3513 4020 4355 4684 5226 5855 7026 8710 10452 11710 13065 14052 15223 17420 17565 23420 26130 30446 35130 45669 52260 60892 70260 76115 78457 91338 152230 156914 182676 228345 235371 304460 313828 392285 456690 470742 784570 913380 941484 1019941 1176855 1569140 2039882 2353710 3059823 4079764 4707420 5099705 6119646 10199410 12239292 15299115 20398820 30598230 61196460