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1002420405 = 325710729741
BaseRepresentation
bin111011101111111…
…011100010110101
32120212020020021200
4323233323202311
54023104423110
6243245203113
733561301320
oct7357734265
92525206250
101002420405
11474927318
1223b860499
1312c8a6a8c
14971bb7b7
155d00d6c0
hex3bbfb8b5

1002420405 has 48 divisors (see below), whose sum is σ = 2004372864. Its totient is φ = 453951360.

The previous prime is 1002420389. The next prime is 1002420413. The reversal of 1002420405 is 5040242001.

It is not a de Polignac number, because 1002420405 - 24 = 1002420389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18835 + ... + 48575.

It is an arithmetic number, because the mean of its divisors is an integer number (41757768).

Almost surely, 21002420405 is an apocalyptic number.

1002420405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002420405 is a deficient number, since it is larger than the sum of its proper divisors (1001952459).

1002420405 is a wasteful number, since it uses less digits than its factorization.

1002420405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29866 (or 29863 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1002420405 is about 31661.0234357640. The cubic root of 1002420405 is about 1000.8061516116.

Adding to 1002420405 its reverse (5040242001), we get a palindrome (6042662406).

The spelling of 1002420405 in words is "one billion, two million, four hundred twenty thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 107 315 321 535 749 963 1605 2247 3745 4815 6741 11235 29741 33705 89223 148705 208187 267669 446115 624561 1040935 1338345 1873683 3122805 3182287 9368415 9546861 15911435 22276009 28640583 47734305 66828027 111380045 143202915 200484081 334140135 1002420405