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1002102240 = 25352087713
BaseRepresentation
bin111011101110101…
…101110111100000
32120211122001211210
4323232231313200
54023014232430
6243234310120
733555504606
oct7356556740
92524561753
101002102240
1147472a277
1223b728340
1312c7c5009
1497137876
155ce992b0
hex3bbadde0

1002102240 has 48 divisors (see below), whose sum is σ = 3156623568. Its totient is φ = 267227136.

The previous prime is 1002102223. The next prime is 1002102251. The reversal of 1002102240 is 422012001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1043377 + ... + 1044336.

It is an arithmetic number, because the mean of its divisors is an integer number (65762991).

Almost surely, 21002102240 is an apocalyptic number.

1002102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102240 is an abundant number, since it is smaller than the sum of its proper divisors (2154521328).

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

1002102240 is a wasteful number, since it uses less digits than its factorization.

1002102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087731 (or 2087723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1002102240 is about 31655.9984836997. The cubic root of 1002102240 is about 1000.7002561935.

Adding to 1002102240 its reverse (422012001), we get a palindrome (1424114241).

The spelling of 1002102240 in words is "one billion, two million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2087713 4175426 6263139 8350852 10438565 12526278 16701704 20877130 25052556 31315695 33403408 41754260 50105112 62631390 66806816 83508520 100210224 125262780 167017040 200420448 250525560 334034080 501051120 1002102240