Search a number
-
+
61115880 = 23357312347
BaseRepresentation
bin1110100100100…
…0110111101000
311021000000020010
43221020313220
5111121202010
610021531520
71341322260
oct351106750
9137000203
1061115880
11315532a1
1218573ba0
13c87ab57
14818c7a0
155573620
hex3a48de8

61115880 has 128 divisors (see below), whose sum is σ = 216391680. Its totient is φ = 13512960.

The previous prime is 61115869. The next prime is 61115893. The reversal of 61115880 is 8851116.

It is a happy number.

61115880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 24867 + ... + 27213.

It is an arithmetic number, because the mean of its divisors is an integer number (1690560).

Almost surely, 261115880 is an apocalyptic number.

61115880 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 61115880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108195840).

61115880 is an abundant number, since it is smaller than the sum of its proper divisors (155275800).

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

61115880 is a wasteful number, since it uses less digits than its factorization.

61115880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 61115880 is about 7817.6646129135. The cubic root of 61115880 is about 393.8988291002.

Adding to 61115880 its reverse (8851116), we get a palindrome (69966996).

The spelling of 61115880 in words is "sixty-one million, one hundred fifteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2347 2604 3255 3720 4340 4694 5208 6510 7041 8680 9388 11735 13020 14082 16429 18776 23470 26040 28164 32858 35205 46940 49287 56328 65716 70410 72757 82145 93880 98574 131432 140820 145514 164290 197148 218271 246435 281640 291028 328580 363785 394296 436542 492870 509299 582056 657160 727570 873084 985740 1018598 1091355 1455140 1527897 1746168 1971480 2037196 2182710 2546495 2910280 3055794 4074392 4365420 5092990 6111588 7639485 8730840 10185980 12223176 15278970 20371960 30557940 61115880