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61330560 = 2735171879
BaseRepresentation
bin1110100111110…
…1010010000000
311021101220201020
43221331102000
5111200034220
610030305440
71343205204
oct351752200
9137356636
1061330560
113168a615
1218658280
13c924795
148206b04
1555b7040
hex3a7d480

61330560 has 128 divisors (see below), whose sum is σ = 207100800. Its totient is φ = 15384576.

The previous prime is 61330519. The next prime is 61330567. The reversal of 61330560 is 6503316.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×613305602 = 7522875179827200, which contains 22 as substring.

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 61330560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61330567) 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, 31701 + ... + 33579.

It is an arithmetic number, because the mean of its divisors is an integer number (1617975).

Almost surely, 261330560 is an apocalyptic number.

61330560 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 61330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103550400).

61330560 is an abundant number, since it is smaller than the sum of its proper divisors (145770240).

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

61330560 is a wasteful number, since it uses less digits than its factorization.

61330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 61330560 is about 7831.3830196205. The cubic root of 61330560 is about 394.3595024982.

Adding to 61330560 its reverse (6503316), we get a palindrome (67833876).

The spelling of 61330560 in words is "sixty-one million, three hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1879 1920 2040 2176 2720 3264 3758 4080 5440 5637 6528 7516 8160 9395 10880 11274 15032 16320 18790 22548 28185 30064 31943 32640 37580 45096 56370 60128 63886 75160 90192 95829 112740 120256 127772 150320 159715 180384 191658 225480 240512 255544 300640 319430 360768 383316 450960 479145 511088 601280 638860 721536 766632 901920 958290 1022176 1202560 1277720 1533264 1803840 1916580 2044352 2555440 3066528 3607680 3833160 4088704 5110880 6133056 7666320 10221760 12266112 15332640 20443520 30665280 61330560