Search a number
-
+
109103680 = 265753919
BaseRepresentation
bin1101000000011…
…00101001000000
321121022001010001
412200030221000
5210412304210
614454245344
72463236350
oct640145100
9247261101
10109103680
115664a234
1230656854
13197b03ba
14106c0b60
1598a203a
hex680ca40

109103680 has 112 divisors (see below), whose sum is σ = 302849280. Its totient is φ = 36661248.

The previous prime is 109103633. The next prime is 109103689. The reversal of 109103680 is 86301901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1091036802 = 23807225979084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (109103689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118261 + ... + 119179.

Almost surely, 2109103680 is an apocalyptic number.

109103680 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 109103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151424640).

109103680 is an abundant number, since it is smaller than the sum of its proper divisors (193745600).

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

109103680 is an equidigital number, since it uses as much as digits as its factorization.

109103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 109103680 is about 10445.2707001781. The cubic root of 109103680 is about 477.8370271253.

The spelling of 109103680 in words is "one hundred nine million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 530 560 742 848 919 1060 1120 1484 1696 1838 1855 2120 2240 2968 3392 3676 3710 4240 4595 5936 6433 7352 7420 8480 9190 11872 12866 14704 14840 16960 18380 23744 25732 29408 29680 32165 36760 48707 51464 58816 59360 64330 73520 97414 102928 118720 128660 147040 194828 205856 243535 257320 294080 340949 389656 411712 487070 514640 681898 779312 974140 1029280 1363796 1558624 1704745 1948280 2058560 2727592 3117248 3409490 3896560 5455184 6818980 7793120 10910368 13637960 15586240 21820736 27275920 54551840 109103680