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1870188138 = 2327132711237
BaseRepresentation
bin110111101111000…
…1100111001101010
311211100002101211100
41233132030321222
512312232010023
6505324342230
764226223360
oct15736147152
94740071740
101870188138
1187a744035
124423a4976
1323a5c6400
1413a547630
15ae2bec43
hex6f78ce6a

1870188138 has 144 divisors (see below), whose sum is σ = 5089309056. Its totient is φ = 485896320.

The previous prime is 1870188113. The next prime is 1870188169. The reversal of 1870188138 is 8318810781.

It is a junction number, because it is equal to n+sod(n) for n = 1870188093 and 1870188102.

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 71 ways as a sum of consecutive naturals, for example, 1511256 + ... + 1512492.

It is an arithmetic number, because the mean of its divisors is an integer number (35342424).

Almost surely, 21870188138 is an apocalyptic number.

1870188138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1870188138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544654528).

1870188138 is an abundant number, since it is smaller than the sum of its proper divisors (3219120918).

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

1870188138 is a wasteful number, since it uses less digits than its factorization.

1870188138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The square root of 1870188138 is about 43245.6718990467. The cubic root of 1870188138 is about 1232.0502826536.

The spelling of 1870188138 in words is "one billion, eight hundred seventy million, one hundred eighty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 71 78 91 117 126 142 169 182 213 234 273 338 426 497 507 546 639 819 923 994 1014 1183 1237 1278 1491 1521 1638 1846 2366 2474 2769 2982 3042 3549 3711 4473 5538 6461 7098 7422 8307 8659 8946 10647 11133 11999 12922 16081 16614 17318 19383 21294 22266 23998 25977 32162 35997 38766 48243 51954 58149 71994 77931 83993 87827 96486 107991 112567 116298 144729 155862 167986 175654 209053 215982 225134 251979 263481 289458 337701 418106 503958 526962 614789 627159 675402 755937 790443 1013103 1141751 1229578 1254318 1463371 1511874 1580886 1844367 1881477 2026206 2283502 2926742 3425253 3688734 3762954 4390113 5533101 6850506 7992257 8780226 10275759 11066202 13170339 14842763 15984514 20551518 23976771 26340678 29685526 44528289 47953542 71930313 89056578 103899341 133584867 143860626 207798682 267169734 311698023 623396046 935094069 1870188138