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64849920 = 211352111
BaseRepresentation
bin1111011101100…
…0100000000000
311112000201100220
43313120200000
5113100144140
610233543040
71415133552
oct367304000
9145021326
1064849920
1133673783
1219874a80
1310587645
1488814d2
155a5ebd0
hex3dd8800

64849920 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 17285120.

The previous prime is 64849871. The next prime is 64849973. The reversal of 64849920 is 2994846.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29665 + ... + 31775.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 264849920 is an apocalyptic number.

64849920 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 64849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

64849920 is an abundant number, since it is smaller than the sum of its proper divisors (142717440).

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

64849920 is a wasteful number, since it uses less digits than its factorization.

64849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 64849920 is about 8052.9448029898. The cubic root of 64849920 is about 401.7628858367.

The spelling of 64849920 in words is "sixty-four million, eight hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2111 2560 3072 3840 4222 5120 6144 6333 7680 8444 10240 10555 12666 15360 16888 21110 25332 30720 31665 33776 42220 50664 63330 67552 84440 101328 126660 135104 168880 202656 253320 270208 337760 405312 506640 540416 675520 810624 1013280 1080832 1351040 1621248 2026560 2161664 2702080 3242496 4053120 4323328 5404160 6484992 8106240 10808320 12969984 16212480 21616640 32424960 64849920