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1009109190 = 2351916710601
BaseRepresentation
bin111100001001011…
…100100011000110
32121022211001120110
4330021130203012
54031312443230
6244044413450
734002200205
oct7411344306
92538731513
101009109190
11478685741
12241b47286
131310a943b
149803d23c
155d8d04b0
hex3c25c8c6

1009109190 has 64 divisors (see below), whose sum is σ = 2564835840. Its totient is φ = 253382400.

The previous prime is 1009109161. The next prime is 1009109207. The reversal of 1009109190 is 919019001.

It is a super-2 number, since 2×10091091902 = 2036602714684912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89890 + ... + 100490.

It is an arithmetic number, because the mean of its divisors is an integer number (40075560).

Almost surely, 21009109190 is an apocalyptic number.

1009109190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009109190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

1009109190 is an abundant number, since it is smaller than the sum of its proper divisors (1555726650).

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

1009109190 is a wasteful number, since it uses less digits than its factorization.

1009109190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797.

The product of its (nonzero) digits is 729, while the sum is 30.

The square root of 1009109190 is about 31766.4790305756. The cubic root of 1009109190 is about 1003.0272233383.

The spelling of 1009109190 in words is "one billion, nine million, one hundred nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 167 190 285 334 501 570 835 1002 1670 2505 3173 5010 6346 9519 10601 15865 19038 21202 31730 31803 47595 53005 63606 95190 106010 159015 201419 318030 402838 604257 1007095 1208514 1770367 2014190 3021285 3540734 5311101 6042570 8851835 10622202 17703670 26555505 33636973 53111010 67273946 100910919 168184865 201821838 336369730 504554595 1009109190