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61244160 = 283541389
BaseRepresentation
bin1110100110100…
…0001100000000
311021020112012020
43221220030000
5111134303120
610024401440
71342365255
oct351501400
9137215166
1061244160
113163070a
1218616280
13c8c4363
1481c342c
15559b640
hex3a68300

61244160 has 144 divisors (see below), whose sum is σ = 200884320. Its totient is φ = 15892480.

The previous prime is 61244159. The next prime is 61244167. The reversal of 61244160 is 6144216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61244160.

It is not an unprimeable number, because it can be changed into a prime (61244167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157246 + ... + 157634.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 261244160 is an apocalyptic number.

61244160 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 61244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

61244160 is an abundant number, since it is smaller than the sum of its proper divisors (139640160).

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

61244160 is a wasteful number, since it uses less digits than its factorization.

61244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61244160 is about 7825.8648084413. The cubic root of 61244160 is about 394.1742295902.

Adding to 61244160 its reverse (6144216), we get a palindrome (67388376).

The spelling of 61244160 in words is "sixty-one million, two hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 389 410 480 492 615 640 656 768 778 820 960 984 1167 1230 1280 1312 1556 1640 1920 1945 1968 2334 2460 2624 3112 3280 3840 3890 3936 4668 4920 5248 5835 6224 6560 7780 7872 9336 9840 10496 11670 12448 13120 15560 15744 15949 18672 19680 23340 24896 26240 31120 31488 31898 37344 39360 46680 47847 49792 52480 62240 63796 74688 78720 79745 93360 95694 99584 124480 127592 149376 157440 159490 186720 191388 239235 248960 255184 298752 318980 373440 382776 478470 497920 510368 637960 746880 765552 956940 1020736 1275920 1493760 1531104 1913880 2041472 2551840 3062208 3827760 4082944 5103680 6124416 7655520 10207360 12248832 15311040 20414720 30622080 61244160