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64389120 = 21535131
BaseRepresentation
bin1111010110100…
…0000000000000
311111011022021020
43311220000000
5112440422440
610220025440
71411204245
oct365500000
9144138236
1064389120
1133389554
1219692280
1310455993
1487a15cc
1559bd3d0
hex3d68000

64389120 has 128 divisors (see below), whose sum is σ = 207614880. Its totient is φ = 17039360.

The previous prime is 64389089. The next prime is 64389137. The reversal of 64389120 is 2198346.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

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, 491455 + ... + 491585.

Almost surely, 264389120 is an apocalyptic number.

64389120 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 64389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103807440).

64389120 is an abundant number, since it is smaller than the sum of its proper divisors (143225760).

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

64389120 is an equidigital number, since it uses as much as digits as its factorization.

64389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 64389120 is about 8024.2831455526. The cubic root of 64389120 is about 400.8090292427.

The spelling of 64389120 in words is "sixty-four million, three hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 512 524 640 655 768 786 960 1024 1048 1280 1310 1536 1572 1920 1965 2048 2096 2560 2620 3072 3144 3840 3930 4096 4192 5120 5240 6144 6288 7680 7860 8192 8384 10240 10480 12288 12576 15360 15720 16384 16768 20480 20960 24576 25152 30720 31440 32768 33536 40960 41920 49152 50304 61440 62880 67072 81920 83840 98304 100608 122880 125760 134144 163840 167680 201216 245760 251520 268288 335360 402432 491520 503040 536576 670720 804864 1006080 1073152 1341440 1609728 2012160 2146304 2682880 3219456 4024320 4292608 5365760 6438912 8048640 10731520 12877824 16097280 21463040 32194560 64389120