Search a number
-
+
109724940 = 223251323607
BaseRepresentation
bin1101000101001…
…00010100001100
321122110121022200
412202210110030
5211042144230
614515441500
72501434533
oct642442414
9248417280
10109724940
1156a33a76
12308b6290
131996a100
141080331a
159976160
hex68a450c

109724940 has 108 divisors (see below), whose sum is σ = 360504144. Its totient is φ = 27001728.

The previous prime is 109724933. The next prime is 109724947. The reversal of 109724940 is 49427901.

It is an interprime number because it is at equal distance from previous prime (109724933) and next prime (109724947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109724895 and 109724904.

It is not an unprimeable number, because it can be changed into a prime (109724947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28617 + ... + 32223.

Almost surely, 2109724940 is an apocalyptic number.

109724940 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 109724940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180252072).

109724940 is an abundant number, since it is smaller than the sum of its proper divisors (250779204).

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

109724940 is a wasteful number, since it uses less digits than its factorization.

109724940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109724940 is about 10474.9673030516. The cubic root of 109724940 is about 478.7422802556.

The spelling of 109724940 in words is "one hundred nine million, seven hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 3607 5070 6084 7214 7605 10140 10821 14428 15210 18035 21642 30420 32463 36070 43284 46891 54105 64926 72140 93782 108210 129852 140673 162315 187564 216420 234455 281346 324630 422019 468910 562692 609583 649260 703365 844038 937820 1219166 1406730 1688076 1828749 2110095 2438332 2813460 3047915 3657498 4220190 5486247 6095830 7314996 8440380 9143745 10972494 12191660 18287490 21944988 27431235 36574980 54862470 109724940