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64020120 = 23351943653
BaseRepresentation
bin1111010000110…
…1111010011000
311110110120002120
43310031322120
5112342120440
610204101240
71405106403
oct364157230
9143416076
1064020120
113315729a
1219534820
1310356a38
148706d3a
155948dd0
hex3d0de98

64020120 has 128 divisors (see below), whose sum is σ = 207187200. Its totient is φ = 15773184.

The previous prime is 64020119. The next prime is 64020127. The reversal of 64020120 is 2102046.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64020127) 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, 97714 + ... + 98366.

It is an arithmetic number, because the mean of its divisors is an integer number (1618650).

Almost surely, 264020120 is an apocalyptic number.

64020120 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 64020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103593600).

64020120 is an abundant number, since it is smaller than the sum of its proper divisors (143167080).

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

64020120 is a wasteful number, since it uses less digits than its factorization.

64020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

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

The square root of 64020120 is about 8001.2574011839. The cubic root of 64020120 is about 400.0419122749.

Adding to 64020120 its reverse (2102046), we get a palindrome (66122166).

The spelling of 64020120 in words is "sixty-four million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 43 57 60 76 86 95 114 120 129 152 172 190 215 228 258 285 344 380 430 456 516 570 645 653 760 817 860 1032 1140 1290 1306 1634 1720 1959 2280 2451 2580 2612 3265 3268 3918 4085 4902 5160 5224 6530 6536 7836 8170 9795 9804 12255 12407 13060 15672 16340 19590 19608 24510 24814 26120 28079 32680 37221 39180 49020 49628 56158 62035 74442 78360 84237 98040 99256 112316 124070 140395 148884 168474 186105 224632 248140 280790 297768 336948 372210 421185 496280 533501 561580 673896 744420 842370 1067002 1123160 1488840 1600503 1684740 2134004 2667505 3201006 3369480 4268008 5335010 6402012 8002515 10670020 12804024 16005030 21340040 32010060 64020120