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2006127320 = 2354710332
BaseRepresentation
bin111011110010011…
…0001001011011000
312011210212211022212
41313210301023120
513102032033240
6531022134252
7100466541461
oct16744611330
95153784285
102006127320
1193a45216a
1247ba21388
1325c8112b2
14150611d68
15bb1c3165
hex779312d8

2006127320 has 48 divisors (see below), whose sum is σ = 4614291360. Its totient is φ = 784617216.

The previous prime is 2006127257. The next prime is 2006127337. The reversal of 2006127320 is 237216002.

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, 1941524 + ... + 1942556.

It is an arithmetic number, because the mean of its divisors is an integer number (96131070).

Almost surely, 22006127320 is an apocalyptic number.

2006127320 is a gapful number since it is divisible by the number (20) 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 2006127320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307145680).

2006127320 is an abundant number, since it is smaller than the sum of its proper divisors (2608164040).

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

2006127320 is an equidigital number, since it uses as much as digits as its factorization.

2006127320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2006127320 is about 44789.8126810104. The cubic root of 2006127320 is about 1261.2063947419.

The spelling of 2006127320 in words is "two billion, six million, one hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1033 1880 2066 4132 5165 8264 10330 20660 41320 48551 97102 194204 242755 388408 485510 971020 1067089 1942040 2134178 4268356 5335445 8536712 10670890 21341780 42683560 50153183 100306366 200612732 250765915 401225464 501531830 1003063660 2006127320