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109140480 = 293351579
BaseRepresentation
bin1101000000101…
…01101000000000
321121100220121000
412200111220000
5210414443410
614455132000
72463451551
oct640255000
9247326530
10109140480
1156674949
1230674000
13197c4087
14106d0328
1598acdc0
hex6815a00

109140480 has 160 divisors (see below), whose sum is σ = 387921600. Its totient is φ = 29085696.

The previous prime is 109140469. The next prime is 109140481. The reversal of 109140480 is 84041901.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (109140481) 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, 68331 + ... + 69909.

It is an arithmetic number, because the mean of its divisors is an integer number (2424510).

Almost surely, 2109140480 is an apocalyptic number.

109140480 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 109140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193960800).

109140480 is an abundant number, since it is smaller than the sum of its proper divisors (278781120).

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

109140480 is an equidigital number, since it uses as much as digits as its factorization.

109140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 109140480 is about 10447.0321144333. The cubic root of 109140480 is about 477.8907449159.

The spelling of 109140480 in words is "one hundred nine million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1579 1728 1920 2160 2304 2560 2880 3158 3456 3840 4320 4608 4737 5760 6316 6912 7680 7895 8640 9474 11520 12632 13824 14211 15790 17280 18948 23040 23685 25264 28422 31580 34560 37896 42633 47370 50528 56844 63160 69120 71055 75792 85266 94740 101056 113688 126320 142110 151584 170532 189480 202112 213165 227376 252640 284220 303168 341064 378960 404224 426330 454752 505280 568440 606336 682128 757920 808448 852660 909504 1010560 1136880 1212672 1364256 1515840 1705320 1819008 2021120 2273760 2425344 2728512 3031680 3410640 3638016 4042240 4547520 5457024 6063360 6821280 7276032 9095040 10914048 12126720 13642560 18190080 21828096 27285120 36380160 54570240 109140480