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1002423006 = 233133173631
BaseRepresentation
bin111011101111111…
…100001011011110
32120212020100212000
4323233330023132
54023110014011
6243245223130
733561312024
oct7357741336
92525210760
101002423006
11474929272
1223b861aa6
1312c8a8010
14971bc714
155d00e356
hex3bbfc2de

1002423006 has 128 divisors (see below), whose sum is σ = 2514247680. Its totient is φ = 293932800.

The previous prime is 1002422989. The next prime is 1002423017. The reversal of 1002423006 is 6003242001.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002423006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1588311 + ... + 1588941.

It is an arithmetic number, because the mean of its divisors is an integer number (19642560).

Almost surely, 21002423006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002423006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257123840).

1002423006 is an abundant number, since it is smaller than the sum of its proper divisors (1511824674).

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

1002423006 is a wasteful number, since it uses less digits than its factorization.

1002423006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002423006 is about 31661.0645114784. The cubic root of 1002423006 is about 1000.8070172147.

Adding to 1002423006 its reverse (6003242001), we get a palindrome (7005665007).

The spelling of 1002423006 in words is "one billion, two million, four hundred twenty-three thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 73 78 93 117 146 186 219 234 279 351 403 438 558 631 657 702 806 837 949 1209 1262 1314 1674 1893 1898 1971 2263 2418 2847 3627 3786 3942 4526 5679 5694 6789 7254 8203 8541 10881 11358 13578 16406 17037 17082 19561 20367 21762 24609 25623 29419 34074 39122 40734 46063 49218 51246 58683 58838 61101 73827 88257 92126 117366 122202 138189 147654 176049 176514 221481 254293 264771 276378 352098 414567 442962 508586 528147 529542 598819 762879 794313 829134 1056294 1197638 1243701 1427953 1525758 1588626 1796457 2288637 2487402 2855906 3592914 4283859 4577274 5389371 6865911 8567718 10778742 12851577 13731822 16168113 18563389 25703154 32336226 37126778 38554731 55690167 77109462 111380334 167070501 334141002 501211503 1002423006