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61315660 = 22572193789
BaseRepresentation
bin1110100111100…
…1101001001100
311021101011021101
43221321221030
5111144100120
610030112444
71343113600
oct351715114
9137334241
1061315660
113167a3aa
121864b724
13c91aa73
148201500
1555b290a
hex3a79a4c

61315660 has 144 divisors (see below), whose sum is σ = 163749600. Its totient is φ = 19160064.

The previous prime is 61315643. The next prime is 61315663. The reversal of 61315660 is 6651316.

It is a super-2 number, since 2×613156602 = 7519220322471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61315663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688896 + ... + 688984.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 261315660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61315660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81874800).

61315660 is an abundant number, since it is smaller than the sum of its proper divisors (102433940).

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

61315660 is a wasteful number, since it uses less digits than its factorization.

61315660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 61315660 is about 7830.4316611538. The cubic root of 61315660 is about 394.3275639209.

Adding to 61315660 its reverse (6651316), we get a palindrome (67966976).

The spelling of 61315660 in words is "sixty-one million, three hundred fifteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 37 38 49 70 74 76 89 95 98 133 140 148 178 185 190 196 245 259 266 356 370 380 445 490 518 532 623 665 703 740 890 931 980 1036 1246 1295 1330 1406 1691 1780 1813 1862 2492 2590 2660 2812 3115 3293 3382 3515 3626 3724 4361 4655 4921 5180 6230 6586 6764 7030 7252 8455 8722 9065 9310 9842 11837 12460 13172 14060 16465 16910 17444 18130 18620 19684 21805 23051 23674 24605 32930 33820 34447 36260 43610 46102 47348 49210 59185 62567 65860 68894 82859 87220 92204 98420 115255 118370 125134 137788 161357 165718 172235 230510 236740 250268 312835 322714 331436 344470 414295 437969 461020 625670 645428 688940 806785 828590 875938 1251340 1613570 1657180 1751876 2189845 3065783 3227140 4379690 6131566 8759380 12263132 15328915 30657830 61315660