Search a number
-
+
61184220 = 22356173229
BaseRepresentation
bin1110100101100…
…1100011011100
311021010110222020
43221121203130
5111130343340
610023220140
71342025436
oct351314334
9137113866
1061184220
113159a679
12185a7650
13c8a2ca6
1481a9656
1555889d0
hex3a598dc

61184220 has 96 divisors (see below), whose sum is σ = 177280320. Its totient is φ = 15759360.

The previous prime is 61184219. The next prime is 61184231. The reversal of 61184220 is 2248116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267066 + ... + 267294.

It is an arithmetic number, because the mean of its divisors is an integer number (1846670).

Almost surely, 261184220 is an apocalyptic number.

61184220 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 61184220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640160).

61184220 is an abundant number, since it is smaller than the sum of its proper divisors (116096100).

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

61184220 is a wasteful number, since it uses less digits than its factorization.

61184220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 61184220 is about 7822.0342622620. The cubic root of 61184220 is about 394.0455941121.

The spelling of 61184220 in words is "sixty-one million, one hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 73 122 146 183 219 229 244 292 305 365 366 438 458 610 687 730 732 876 915 916 1095 1145 1220 1374 1460 1830 2190 2290 2748 3435 3660 4380 4453 4580 6870 8906 13359 13740 13969 16717 17812 22265 26718 27938 33434 41907 44530 50151 53436 55876 66795 66868 69845 83585 83814 89060 100302 133590 139690 167170 167628 200604 209535 250755 267180 279380 334340 419070 501510 838140 1003020 1019737 2039474 3059211 4078948 5098685 6118422 10197370 12236844 15296055 20394740 30592110 61184220