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1328632020 = 2232510371663
BaseRepresentation
bin100111100110001…
…0101000011010100
310102121001111111100
41033030111003110
510210112211040
6335501110100
744632120512
oct11714250324
93377044440
101328632020
11621a839a1
12310b58330
131823513c1
14c86554b2
157b998b30
hex4f3150d4

1328632020 has 72 divisors (see below), whose sum is σ = 4069368576. Its totient is φ = 350857152.

The previous prime is 1328631977. The next prime is 1328632031. The reversal of 1328632020 is 202368231.

1328632020 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 632 + 0 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17292 + ... + 54371.

It is an arithmetic number, because the mean of its divisors is an integer number (56519008).

Almost surely, 21328632020 is an apocalyptic number.

1328632020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328632020 is an abundant number, since it is smaller than the sum of its proper divisors (2740736556).

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

1328632020 is a wasteful number, since it uses less digits than its factorization.

1328632020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71781 (or 71776 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1328632020 is about 36450.4049360223. The cubic root of 1328632020 is about 1099.3472766723.

The spelling of 1328632020 in words is "one billion, three hundred twenty-eight million, six hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 71663 143326 214989 286652 358315 429978 644967 716630 859956 1074945 1289934 1433260 2149890 2579868 3224835 4299780 6449670 7381289 12899340 14762578 22143867 29525156 36906445 44287734 66431601 73812890 88575468 110719335 132863202 147625780 221438670 265726404 332158005 442877340 664316010 1328632020