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1802006052 = 22371121710429
BaseRepresentation
bin110101101101000…
…0110111000100100
311122120210101120220
41223122012320210
512142303143202
6454451124340
762440540650
oct15332067044
94576711526
101802006052
11845204900
124235a36b0
13229443192
14131479a60
15a8302abc
hex6b686e24

1802006052 has 144 divisors (see below), whose sum is σ = 5593150080. Its totient is φ = 440478720.

The previous prime is 1802006039. The next prime is 1802006081. The reversal of 1802006052 is 2506002081.

It is a super-2 number, since 2×18020060522 = 6494451622889253408, which contains 22 as substring.

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, 167574 + ... + 178002.

It is an arithmetic number, because the mean of its divisors is an integer number (38841320).

Almost surely, 21802006052 is an apocalyptic number.

1802006052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1802006052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796575040).

1802006052 is an abundant number, since it is smaller than the sum of its proper divisors (3791144028).

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

1802006052 is a wasteful number, since it uses less digits than its factorization.

1802006052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1802006052 is about 42450.0418374352. The cubic root of 1802006052 is about 1216.8921281384.

The spelling of 1802006052 in words is "one billion, eight hundred two million, six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 121 132 154 187 204 231 238 242 308 357 363 374 462 476 484 561 714 726 748 847 924 1122 1309 1428 1452 1694 2057 2244 2541 2618 3388 3927 4114 5082 5236 6171 7854 8228 10164 10429 12342 14399 15708 20858 24684 28798 31287 41716 43197 57596 62574 73003 86394 114719 125148 146006 172788 177293 219009 229438 292012 344157 354586 438018 458876 531879 688314 709172 803033 876036 1063758 1241051 1261909 1376628 1606066 1950223 2127516 2409099 2482102 2523818 3212132 3723153 3785727 3900446 4818198 4964204 5047636 5850669 7446306 7571454 7800892 8833363 9636396 11701338 13651561 14892612 15142908 17666726 21452453 23402676 26500089 27303122 35333452 40954683 42904906 53000178 54606244 64357359 81909366 85809812 106000356 128714718 150167171 163818732 257429436 300334342 450501513 600668684 901003026 1802006052