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1138790088 = 2332412972
BaseRepresentation
bin100001111100000…
…1000111011001000
32221100211112022200
41003320020323020
54313012240323
6305000120200
740135361502
oct10370107310
92840745280
101138790088
115348a9937
12279466060
13151c128b7
14ab358d72
1569e99443
hex43e08ec8

1138790088 has 108 divisors (see below), whose sum is σ = 3194209395. Its totient is φ = 366520320.

The previous prime is 1138790071. The next prime is 1138790111. The reversal of 1138790088 is 8800978311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 32695524 + 1106094564 = 5718^2 + 33258^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11740056 + ... + 11740152.

Almost surely, 21138790088 is an apocalyptic number.

1138790088 is a gapful number since it is divisible by the number (18) 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 1138790088

1138790088 is an abundant number, since it is smaller than the sum of its proper divisors (2055419307).

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

1138790088 is an equidigital number, since it uses as much as digits as its factorization.

1138790088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1138790088 is about 33745.9640253468. The cubic root of 1138790088 is about 1044.2742266372.

It can be divided in two parts, 11387 and 90088, that added together give a triangular number (101475 = T450).

The spelling of 1138790088 in words is "one billion, one hundred thirty-eight million, seven hundred ninety thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 97 123 164 194 246 291 328 369 388 492 582 738 776 873 984 1164 1476 1681 1746 2328 2952 3362 3492 3977 5043 6724 6984 7954 9409 10086 11931 13448 15129 15908 18818 20172 23862 28227 30258 31816 35793 37636 40344 47724 56454 60516 71586 75272 84681 95448 112908 121032 143172 163057 169362 225816 286344 326114 338724 385769 489171 652228 677448 771538 978342 1157307 1304456 1467513 1543076 1956684 2314614 2935026 3086152 3471921 3913368 4629228 5870052 6943842 9258456 11740104 13887684 15816529 27775368 31633058 47449587 63266116 94899174 126532232 142348761 189798348 284697522 379596696 569395044 1138790088