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2002973420 = 2257101141653
BaseRepresentation
bin111011101100010…
…1111001011101100
312011120221120222202
41313120233023230
513100230122140
6530430401032
7100430664440
oct16730571354
95146846882
102002973420
11938698638
1247a960178
1325bc78896
14150030820
15bac9d915
hex7762f2ec

2002973420 has 48 divisors (see below), whose sum is σ = 4854765888. Its totient is φ = 679929600.

The previous prime is 2002973393. The next prime is 2002973431. The reversal of 2002973420 is 243792002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56687 + ... + 84966.

It is an arithmetic number, because the mean of its divisors is an integer number (101140956).

Almost surely, 22002973420 is an apocalyptic number.

2002973420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002973420 is an abundant number, since it is smaller than the sum of its proper divisors (2851792468).

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

2002973420 is a wasteful number, since it uses less digits than its factorization.

2002973420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141770 (or 141768 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2002973420 is about 44754.5910494108. The cubic root of 2002973420 is about 1260.5451198013.

The spelling of 2002973420 in words is "two billion, two million, nine hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 141653 283306 566612 708265 991571 1416530 1983142 2833060 3966284 4957855 9915710 14306953 19831420 28613906 57227812 71534765 100148671 143069530 200297342 286139060 400594684 500743355 1001486710 2002973420