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60013020 = 22351961863
BaseRepresentation
bin1110010011101…
…1100111011100
311011220222101110
43210323213130
5110330404040
65542142020
71326050034
oct344734734
9134828343
1060013020
113096a741
1218121910
13c582b82
147d828c4
155406980
hex393b9dc

60013020 has 96 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 14895360.

The previous prime is 60013007. The next prime is 60013021. The reversal of 60013020 is 2031006.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 60012987 and 60013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60013021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69109 + ... + 69971.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 260013020 is an apocalyptic number.

60013020 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 60013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

60013020 is an abundant number, since it is smaller than the sum of its proper divisors (119975460).

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

60013020 is a wasteful number, since it uses less digits than its factorization.

60013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 60013020 is about 7746.8070842122. The cubic root of 60013020 is about 391.5150796114.

Adding to 60013020 its reverse (2031006), we get a palindrome (62044026).

The spelling of 60013020 in words is "sixty million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 863 915 1140 1159 1220 1726 1830 2318 2589 3452 3477 3660 4315 4636 5178 5795 6954 8630 10356 11590 12945 13908 16397 17260 17385 23180 25890 32794 34770 49191 51780 52643 65588 69540 81985 98382 105286 157929 163970 196764 210572 245955 263215 315858 327940 491910 526430 631716 789645 983820 1000217 1052860 1579290 2000434 3000651 3158580 4000868 5001085 6001302 10002170 12002604 15003255 20004340 30006510 60013020