Search a number
-
+
109501860 = 223513210799
BaseRepresentation
bin1101000011011…
…01110110100100
321122001021022110
412201231312210
5211013024420
614511001020
72466515256
oct641556644
9248037273
10109501860
11568a1406
1230809170
13198bc700
1410785cd6
15992eee0
hex686dda4

109501860 has 72 divisors (see below), whose sum is σ = 332035200. Its totient is φ = 26951808.

The previous prime is 109501841. The next prime is 109501867. The reversal of 109501860 is 68105901.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (109501867) 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, 4741 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2109501860 is an apocalyptic number.

109501860 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 109501860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166017600).

109501860 is an abundant number, since it is smaller than the sum of its proper divisors (222533340).

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

109501860 is a wasteful number, since it uses less digits than its factorization.

109501860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10837 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 109501860 is about 10464.3136420885. The cubic root of 109501860 is about 478.4176190738.

The spelling of 109501860 in words is "one hundred nine million, five hundred one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 10799 21598 32397 43196 53995 64794 107990 129588 140387 161985 215980 280774 323970 421161 561548 647940 701935 842322 1403870 1684644 1825031 2105805 2807740 3650062 4211610 5475093 7300124 8423220 9125155 10950186 18250310 21900372 27375465 36500620 54750930 109501860