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1006652020 = 225114575691
BaseRepresentation
bin111100000000000…
…100101001110100
32121011012012222011
4330000010221310
54030200331040
6243520014004
733642254353
oct7400045164
92534165864
101006652020
11477257620
12241161304
13130728baa
149799d99a
155d5973ea
hex3c004a74

1006652020 has 24 divisors (see below), whose sum is σ = 2306148768. Its totient is φ = 366055200.

The previous prime is 1006652011. The next prime is 1006652083. The reversal of 1006652020 is 202566001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1006651982 and 1006652000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287626 + ... + 2288065.

It is an arithmetic number, because the mean of its divisors is an integer number (96089532).

Almost surely, 21006652020 is an apocalyptic number.

1006652020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006652020 is an abundant number, since it is smaller than the sum of its proper divisors (1299496748).

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

1006652020 is a wasteful number, since it uses less digits than its factorization.

1006652020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575711 (or 4575709 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1006652020 is about 31727.7799412439. The cubic root of 1006652020 is about 1002.2124414927.

The spelling of 1006652020 in words is "one billion, six million, six hundred fifty-two thousand, twenty".