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61128396 = 223271719751
BaseRepresentation
bin1110100100101…
…1111011001100
311021000122101200
43221023323030
5111122102041
610022105500
71341403620
oct351137314
9137018350
1061128396
113156173a
121857b290
13c883764
148193180
1555771b6
hex3a4becc

61128396 has 144 divisors (see below), whose sum is σ = 197084160. Its totient is φ = 15552000.

The previous prime is 61128391. The next prime is 61128401. The reversal of 61128396 is 69382116.

61128396 is a `hidden beast` number, since 611 + 2 + 8 + 39 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61128391) and next prime (61128401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61128396.

It is not an unprimeable number, because it can be changed into a prime (61128391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81021 + ... + 81771.

It is an arithmetic number, because the mean of its divisors is an integer number (1368640).

Almost surely, 261128396 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 61128396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98542080).

61128396 is an abundant number, since it is smaller than the sum of its proper divisors (135955764).

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

61128396 is a wasteful number, since it uses less digits than its factorization.

61128396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61128396 is about 7818.4650667506. The cubic root of 61128396 is about 393.9257162816.

The spelling of 61128396 in words is "sixty-one million, one hundred twenty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 751 798 969 1071 1197 1292 1428 1502 1596 1938 2142 2253 2261 2394 2907 3004 3876 4284 4506 4522 4788 5257 5814 6759 6783 9012 9044 10514 11628 12767 13518 13566 14269 15771 20349 21028 25534 27036 27132 28538 31542 38301 40698 42807 47313 51068 57076 63084 76602 81396 85614 89369 94626 99883 114903 128421 153204 171228 178738 189252 199766 229806 242573 256842 268107 299649 357476 399532 459612 485146 513684 536214 599298 727719 804321 898947 970292 1072428 1198596 1455438 1608642 1698011 1797894 2183157 2910876 3217284 3396022 3595788 4366314 5094033 6792044 8732628 10188066 15282099 20376132 30564198 61128396