Search a number
-
+
109022040 = 23325319769
BaseRepresentation
bin1100111111110…
…00101101011000
321121010220010100
412133320231120
5210402201130
614452415400
72462446341
oct637705530
9247126110
10109022040
11565a3966
1230617560
13197821aa
141069d0c8
159887c60
hex67f8b58

109022040 has 96 divisors (see below), whose sum is σ = 365788800. Its totient is φ = 28131840.

The previous prime is 109022027. The next prime is 109022041. The reversal of 109022040 is 40220901.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109022041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6276 + ... + 16044.

It is an arithmetic number, because the mean of its divisors is an integer number (3810300).

Almost surely, 2109022040 is an apocalyptic number.

109022040 is a gapful number since it is divisible by the number (10) 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 109022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182894400).

109022040 is an abundant number, since it is smaller than the sum of its proper divisors (256766760).

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

109022040 is a wasteful number, since it uses less digits than its factorization.

109022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9817 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 109022040 is about 10441.3619801250. The cubic root of 109022040 is about 477.7178122365.

Adding to 109022040 its reverse (40220901), we get a palindrome (149242941).

The spelling of 109022040 in words is "one hundred nine million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 9769 11160 19538 29307 39076 48845 58614 78152 87921 97690 117228 146535 175842 195380 234456 293070 302839 351684 390760 439605 586140 605678 703368 879210 908517 1172280 1211356 1514195 1758420 1817034 2422712 2725551 3028390 3516840 3634068 4542585 5451102 6056780 7268136 9085170 10902204 12113560 13627755 18170340 21804408 27255510 36340680 54511020 109022040