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1002420432 = 243213535481
BaseRepresentation
bin111011101111111…
…011100011010000
32120212020020022200
4323233323203100
54023104423212
6243245203200
733561301356
oct7357734320
92525206280
101002420432
11474927342
1223b860500
1312c8a6ab0
14971bb7d6
155d00d6dc
hex3bbfb8d0

1002420432 has 60 divisors (see below), whose sum is σ = 3021189444. Its totient is φ = 308436480.

The previous prime is 1002420427. The next prime is 1002420469. The reversal of 1002420432 is 2340242001.

It can be written as a sum of positive squares in 2 ways, for example, as 161188416 + 841232016 = 12696^2 + 29004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 265869 + ... + 269612.

Almost surely, 21002420432 is an apocalyptic number.

1002420432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002420432 is an abundant number, since it is smaller than the sum of its proper divisors (2018769012).

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

1002420432 is a wasteful number, since it uses less digits than its factorization.

1002420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535508 (or 535499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1002420432 is about 31661.0238621558. The cubic root of 1002420432 is about 1000.8061605971.

Adding to 1002420432 its reverse (2340242001), we get a palindrome (3342662433).

The spelling of 1002420432 in words is "one billion, two million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 535481 1070962 1606443 2141924 3212886 4283848 4819329 6425772 6961253 8567696 9638658 12851544 13922506 19277316 20883759 25703088 27845012 38554632 41767518 55690024 62651277 77109264 83535036 111380048 125302554 167070072 250605108 334140144 501210216 1002420432