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640720128 = 2831922311
BaseRepresentation
bin100110001100001…
…001110100000000
31122122121221210010
4212030021310000
52303011021003
6143324504520
721610013466
oct4614116400
91578557703
10640720128
112a9740574
1215a6ab140
13a2985149
1461146836
153b3b3003
hex26309d00

640720128 has 108 divisors (see below), whose sum is σ = 1800502368. Its totient is φ = 202245120.

The previous prime is 640720111. The next prime is 640720133. The reversal of 640720128 is 821027046.

It is a junction number, because it is equal to n+sod(n) for n = 640720095 and 640720104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276093 + ... + 278403.

Almost surely, 2640720128 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 640720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900251184).

640720128 is an abundant number, since it is smaller than the sum of its proper divisors (1159782240).

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

640720128 is a wasteful number, since it uses less digits than its factorization.

640720128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 640720128 is about 25312.4500592100. The cubic root of 640720128 is about 862.0969775135.

The spelling of 640720128 in words is "six hundred forty million, seven hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 608 722 768 912 1083 1216 1444 1824 2166 2311 2432 2888 3648 4332 4622 4864 5776 6933 7296 8664 9244 11552 13866 14592 17328 18488 23104 27732 34656 36976 43909 46208 55464 69312 73952 87818 92416 110928 131727 138624 147904 175636 221856 263454 277248 295808 351272 443712 526908 591616 702544 834271 887424 1053816 1405088 1668542 1774848 2107632 2502813 2810176 3337084 4215264 5005626 5620352 6674168 8430528 10011252 11240704 13348336 16861056 20022504 26696672 33722112 40045008 53393344 80090016 106786688 160180032 213573376 320360064 640720128