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1406998152 = 233272894481
BaseRepresentation
bin101001111011101…
…0001011010001000
310122001111220121200
41103313101122020
510340142420102
6351340504200
746603200300
oct12367213210
93561456550
101406998152
1166223959a
1233324b060
1319565bbb1
14d4c14600
15837c851c
hex53dd1688

1406998152 has 144 divisors (see below), whose sum is σ = 4483568700. Its totient is φ = 397393920.

The previous prime is 1406998129. The next prime is 1406998181. The reversal of 1406998152 is 2518996041.

1406998152 is a `hidden beast` number, since 1 + 406 + 9 + 98 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1406700036 + 298116 = 37506^2 + 546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1406998098 and 1406998107.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311752 + ... + 316232.

Almost surely, 21406998152 is an apocalyptic number.

1406998152 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 1406998152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241784350).

1406998152 is an abundant number, since it is smaller than the sum of its proper divisors (3076570548).

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

1406998152 is a wasteful number, since it uses less digits than its factorization.

1406998152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1406998152 is about 37509.9740335821. The cubic root of 1406998152 is about 1120.5498341960.

The spelling of 1406998152 in words is "one billion, four hundred six million, nine hundred ninety-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 89 98 126 147 168 178 196 252 267 294 356 392 441 504 534 588 623 712 801 882 1068 1176 1246 1602 1764 1869 2136 2492 3204 3528 3738 4361 4481 4984 5607 6408 7476 8722 8962 11214 13083 13443 14952 17444 17924 22428 26166 26886 31367 34888 35848 39249 40329 44856 52332 53772 62734 78498 80658 94101 104664 107544 125468 156996 161316 188202 219569 250936 282303 313992 322632 376404 398809 439138 564606 658707 752808 797618 878276 1129212 1196427 1317414 1595236 1756552 1976121 2258424 2392854 2634828 2791663 3190472 3589281 3952242 4785708 5269656 5583326 7178562 7904484 8374989 9571416 11166652 14357124 15808968 16749978 19541641 22333304 25124967 28714248 33499956 39083282 50249934 58624923 66999912 78166564 100499868 117249846 156333128 175874769 200999736 234499692 351749538 468999384 703499076 1406998152