Search a number
-
+
19694080 = 29572157
BaseRepresentation
bin100101100100…
…0001000000000
31101001120012101
41023020020000
520020202310
61542040144
7326253100
oct113101000
941046171
1019694080
11101314aa
126719054
134107103
142889200
151ae043a
hex12c8200

19694080 has 120 divisors (see below), whose sum is σ = 55278828. Its totient is φ = 6709248.

The previous prime is 19694071. The next prime is 19694093. The reversal of 19694080 is 8049691.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 614656 = 4368^2 + 784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125362 + ... + 125518.

Almost surely, 219694080 is an apocalyptic number.

19694080 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 19694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639414).

19694080 is an abundant number, since it is smaller than the sum of its proper divisors (35584748).

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

19694080 is an equidigital number, since it uses as much as digits as its factorization.

19694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 19694080 is about 4437.8012573796. The cubic root of 19694080 is about 270.0506535052.

The spelling of 19694080 in words is "nineteen million, six hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 157 160 196 224 245 256 280 314 320 392 448 490 512 560 628 640 784 785 896 980 1099 1120 1256 1280 1568 1570 1792 1960 2198 2240 2512 2560 3136 3140 3584 3920 4396 4480 5024 5495 6272 6280 7693 7840 8792 8960 10048 10990 12544 12560 15386 15680 17584 17920 20096 21980 25088 25120 30772 31360 35168 38465 40192 43960 50240 61544 62720 70336 76930 80384 87920 100480 123088 125440 140672 153860 175840 200960 246176 281344 307720 351680 401920 492352 562688 615440 703360 984704 1230880 1406720 1969408 2461760 2813440 3938816 4923520 9847040 19694080