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61220040 = 23357312351
BaseRepresentation
bin1110100110001…
…0010011001000
311021012022002220
43221202103020
5111133020130
610024054040
71342235040
oct351422310
9137168086
1061220040
1131614582
1218604320
13c8b639b
1481b8720
155594410
hex3a624c8

61220040 has 128 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 13536000.

The previous prime is 61220021. The next prime is 61220041. The reversal of 61220040 is 4002216.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (61220041) 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 31 ways as a sum of consecutive naturals, for example, 24865 + ... + 27215.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 261220040 is an apocalyptic number.

61220040 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 61220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

61220040 is an abundant number, since it is smaller than the sum of its proper divisors (155540280).

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

61220040 is a wasteful number, since it uses less digits than its factorization.

61220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 61220040 is about 7824.3236129393. The cubic root of 61220040 is about 394.1224764608.

Adding to 61220040 its reverse (4002216), we get a palindrome (65222256).

The spelling of 61220040 in words is "sixty-one million, two hundred twenty thousand, forty".

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 2351 2604 3255 3720 4340 4702 5208 6510 7053 8680 9404 11755 13020 14106 16457 18808 23510 26040 28212 32914 35265 47020 49371 56424 65828 70530 72881 82285 94040 98742 131656 141060 145762 164570 197484 218643 246855 282120 291524 329140 364405 394968 437286 493710 510167 583048 658280 728810 874572 987420 1020334 1093215 1457620 1530501 1749144 1974840 2040668 2186430 2550835 2915240 3061002 4081336 4372860 5101670 6122004 7652505 8745720 10203340 12244008 15305010 20406680 30610020 61220040