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61889190 = 23511292223
BaseRepresentation
bin1110110000010…
…1101010100110
311022110022000020
43230011222212
5111320423230
610050300010
71351022646
oct354055246
9138408006
1061889190
1131a312a0
1218887606
13ca8bb2c
148310526
155677810
hex3b05aa6

61889190 has 96 divisors (see below), whose sum is σ = 168569856. Its totient is φ = 14421120.

The previous prime is 61889189. The next prime is 61889207. The reversal of 61889190 is 9198816.

61889190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×618891902 = 7660543677712200, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 277419 + ... + 277641.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 261889190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61889190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84284928).

61889190 is an abundant number, since it is smaller than the sum of its proper divisors (106680666).

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

61889190 is a wasteful number, since it uses less digits than its factorization.

61889190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 61889190 is about 7866.9682851782. The cubic root of 61889190 is about 395.5532278978.

The spelling of 61889190 in words is "sixty-one million, eight hundred eighty-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 223 290 319 330 435 446 638 669 841 870 957 1115 1338 1595 1682 1914 2230 2453 2523 3190 3345 4205 4785 4906 5046 6467 6690 7359 8410 9251 9570 12265 12615 12934 14718 18502 19401 24530 25230 27753 32335 36795 38802 46255 55506 64670 71137 73590 92510 97005 138765 142274 187543 194010 213411 277530 355685 375086 426822 562629 711370 937715 1067055 1125258 1875430 2062973 2134110 2813145 4125946 5626290 6188919 10314865 12377838 20629730 30944595 61889190