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660400128 = 211351327
BaseRepresentation
bin100111010111001…
…110100000000000
31201000122210200000
4213113032200000
52323030301003
6145310400000
722236210543
oct4727164000
91630583600
10660400128
11309862433
12165200000
13a6a85a0b
14639ca85a
153ce9e1a3
hex275ce800

660400128 has 144 divisors (see below), whose sum is σ = 1979490240. Its totient is φ = 219967488.

The previous prime is 660400123. The next prime is 660400129. The reversal of 660400128 is 821004066.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6604001282 = 872256658124832768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (660400123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497001 + ... + 498327.

It is an arithmetic number, because the mean of its divisors is an integer number (13746460).

Almost surely, 2660400128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989745120).

660400128 is an abundant number, since it is smaller than the sum of its proper divisors (1319090112).

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

660400128 is an equidigital number, since it uses as much as digits as its factorization.

660400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 660400128 is about 25698.2514580273. The cubic root of 660400128 is about 870.8346805186.

The spelling of 660400128 in words is "six hundred sixty million, four hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1327 1536 1728 1944 2048 2304 2592 2654 3072 3456 3888 3981 4608 5184 5308 6144 6912 7776 7962 9216 10368 10616 11943 13824 15552 15924 18432 20736 21232 23886 27648 31104 31848 35829 41472 42464 47772 55296 62208 63696 71658 82944 84928 95544 107487 124416 127392 143316 165888 169856 191088 214974 248832 254784 286632 322461 339712 382176 429948 497664 509568 573264 644922 679424 764352 859896 1019136 1146528 1289844 1358848 1528704 1719792 2038272 2293056 2579688 2717696 3057408 3439584 4076544 4586112 5159376 6114816 6879168 8153088 9172224 10318752 12229632 13758336 18344448 20637504 24459264 27516672 36688896 41275008 55033344 73377792 82550016 110066688 165100032 220133376 330200064 660400128