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1405640988 = 223217732431
BaseRepresentation
bin101001111001000…
…0110000100011100
310121221221221221100
41103302012010130
510334321002423
6351251433100
746555515453
oct12362060434
93557857840
101405640988
116614a1974
123328b5790
131952a523b
14d497db9a
158360b343
hex53c8611c

1405640988 has 108 divisors (see below), whose sum is σ = 3823249248. Its totient is φ = 433935360.

The previous prime is 1405640983. The next prime is 1405640993. The reversal of 1405640988 is 8890465041.

1405640988 is a `hidden beast` number, since 1 + 4 + 0 + 564 + 0 + 9 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (1405640983) and next prime (1405640993).

It is a super-2 number, since 2×14056409882 = 3951653174291232288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405640981) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3261133 + ... + 3261563.

It is an arithmetic number, because the mean of its divisors is an integer number (35400456).

Almost surely, 21405640988 is an apocalyptic number.

1405640988 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 1405640988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911624624).

1405640988 is an abundant number, since it is smaller than the sum of its proper divisors (2417608260).

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

1405640988 is a wasteful number, since it uses less digits than its factorization.

1405640988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1405640988 is about 37491.8789606496. The cubic root of 1405640988 is about 1120.1894311815.

The spelling of 1405640988 in words is "one billion, four hundred five million, six hundred forty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 431 438 612 657 862 876 1241 1293 1314 1724 2482 2586 2628 3723 3879 4964 5172 5329 7327 7446 7758 10658 11169 14654 14892 15516 15987 21316 21981 22338 29308 31463 31974 43962 44676 47961 62926 63948 65943 87924 90593 94389 95922 125852 131886 181186 188778 191844 263772 271779 283167 362372 377556 534871 543558 566334 815337 1069742 1087116 1132668 1604613 1630674 2139484 2296799 3209226 3261348 4593598 4813839 6418452 6890397 9187196 9627678 13780794 19255356 20671191 27561588 39045583 41342382 78091166 82684764 117136749 156182332 234273498 351410247 468546996 702820494 1405640988