Search a number
-
+
61876620 = 223251331853
BaseRepresentation
bin1110110000001…
…0100110001100
311022102122202200
43230002212030
5111320022440
610050121500
71350641211
oct354024614
9138378680
1061876620
1131a22903
1218880290
13ca861b0
148309b08
155673c30
hex3b0298c

61876620 has 144 divisors (see below), whose sum is σ = 208895232. Its totient is φ = 14722560.

The previous prime is 61876523. The next prime is 61876621. The reversal of 61876620 is 2667816.

It is a happy number.

It is a super-2 number, since 2×618766202 = 7657432205248800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61876621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 72114 + ... + 72966.

Almost surely, 261876620 is an apocalyptic number.

61876620 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 61876620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104447616).

61876620 is an abundant number, since it is smaller than the sum of its proper divisors (147018612).

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

61876620 is a wasteful number, since it uses less digits than its factorization.

61876620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 61876620 is about 7866.1693345618. The cubic root of 61876620 is about 395.5264464802.

The spelling of 61876620 in words is "sixty-one million, eight hundred seventy-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 853 930 1116 1170 1209 1395 1612 1706 1860 2015 2340 2418 2559 2790 3412 3627 4030 4265 4836 5118 5580 6045 7254 7677 8060 8530 10236 11089 12090 12795 14508 15354 17060 18135 22178 24180 25590 26443 30708 33267 36270 38385 44356 51180 52886 55445 66534 72540 76770 79329 99801 105772 110890 132215 133068 153540 158658 166335 199602 221780 237987 264430 317316 332670 343759 396645 399204 475974 499005 528860 665340 687518 793290 951948 998010 1031277 1189935 1375036 1586580 1718795 1996020 2062554 2379870 3093831 3437590 4125108 4759740 5156385 6187662 6875180 10312770 12375324 15469155 20625540 30938310 61876620