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61083330 = 23571131853
BaseRepresentation
bin1110100100000…
…0111011000010
311020221100120120
43221000323002
5111114131310
610021121110
71341125340
oct351007302
9136840516
1061083330
11315308a0
1218559196
13c8690a9
148180990
155568b70
hex3a40ec2

61083330 has 128 divisors (see below), whose sum is σ = 188891136. Its totient is φ = 12268800.

The previous prime is 61083313. The next prime is 61083343. The reversal of 61083330 is 3338016.

It is a self number, because there is not a number n which added to its sum of digits gives 61083330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71184 + ... + 72036.

It is an arithmetic number, because the mean of its divisors is an integer number (1475712).

Almost surely, 261083330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61083330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94445568).

61083330 is an abundant number, since it is smaller than the sum of its proper divisors (127807806).

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

61083330 is a wasteful number, since it uses less digits than its factorization.

61083330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 61083330 is about 7815.5825118797. The cubic root of 61083330 is about 393.8288871923.

The spelling of 61083330 in words is "sixty-one million, eighty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 31 33 35 42 55 62 66 70 77 93 105 110 154 155 165 186 210 217 231 310 330 341 385 434 462 465 651 682 770 853 930 1023 1085 1155 1302 1705 1706 2046 2170 2310 2387 2559 3255 3410 4265 4774 5115 5118 5971 6510 7161 8530 9383 10230 11935 11942 12795 14322 17913 18766 23870 25590 26443 28149 29855 35805 35826 46915 52886 56298 59710 65681 71610 79329 89565 93830 131362 132215 140745 158658 179130 185101 197043 264430 281490 290873 328405 370202 394086 396645 555303 581746 656810 793290 872619 925505 985215 1110606 1454365 1745238 1851010 1970430 2036111 2776515 2908730 4072222 4363095 5553030 6108333 8726190 10180555 12216666 20361110 30541665 61083330