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64885920 = 25351112289
BaseRepresentation
bin1111011110000…
…1010010100000
311112002112202020
43313201102200
5113102322140
610234421440
71415343531
oct367412240
9145075666
1064885920
1133698830
1219891880
131059ab48
148890688
155a6a6d0
hex3de14a0

64885920 has 96 divisors (see below), whose sum is σ = 222989760. Its totient is φ = 15728640.

The previous prime is 64885879. The next prime is 64885927. The reversal of 64885920 is 2958846.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×648859202 = 8420365228492800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64885927) 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, 865 + ... + 11424.

It is an arithmetic number, because the mean of its divisors is an integer number (2322810).

Almost surely, 264885920 is an apocalyptic number.

64885920 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 64885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111494880).

64885920 is an abundant number, since it is smaller than the sum of its proper divisors (158103840).

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

64885920 is a wasteful number, since it uses less digits than its factorization.

64885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 64885920 is about 8055.1797000439. The cubic root of 64885920 is about 401.8372153468.

It can be divided in two parts, 648 and 85920, that added together give a palindrome (86568).

The spelling of 64885920 in words is "sixty-four million, eight hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 12289 24578 36867 49156 61445 73734 98312 122890 135179 147468 184335 196624 245780 270358 294936 368670 393248 405537 491560 540716 589872 675895 737340 811074 983120 1081432 1179744 1351790 1474680 1622148 1966240 2027685 2162864 2703580 2949360 3244296 4055370 4325728 5407160 5898720 6488592 8110740 10814320 12977184 16221480 21628640 32442960 64885920