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1099382152 = 2311232811933
BaseRepresentation
bin100000110000111…
…0011110110001000
32211121200101210111
41001201303312020
54222420212102
6301031324104
736146410531
oct10141636610
92747611714
101099382152
115146330a0
12268220634
131469c56ab
14a601b688
15667b2cd7
hex41873d88

1099382152 has 64 divisors (see below), whose sum is σ = 2356076160. Its totient is φ = 476044800.

The previous prime is 1099382149. The next prime is 1099382177. The reversal of 1099382152 is 2512839901.

It is a super-2 number, since 2×10993821522 = 2417282232272302208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 567778 + ... + 569710.

It is an arithmetic number, because the mean of its divisors is an integer number (36813690).

Almost surely, 21099382152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099382152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178038080).

1099382152 is an abundant number, since it is smaller than the sum of its proper divisors (1256694008).

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

1099382152 is a wasteful number, since it uses less digits than its factorization.

1099382152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1099382152 is about 33156.9321861960. The cubic root of 1099382152 is about 1032.0868088946.

The spelling of 1099382152 in words is "one billion, ninety-nine million, three hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 281 506 562 1012 1124 1933 2024 2248 3091 3866 6182 6463 7732 12364 12926 15464 21263 24728 25852 42526 44459 51704 71093 85052 88918 142186 170104 177836 284372 355672 489049 543173 568744 978098 1086346 1956196 2172692 3912392 4345384 5974903 11949806 12492979 23899612 24985958 47799224 49971916 99943832 137422769 274845538 549691076 1099382152