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194941440 = 293258461
BaseRepresentation
bin10111001111010…
…01001000000000
3111120211001101100
423213221020000
5344401111230
631202134400
74554655251
oct1347511000
9446731340
10194941440
11a0048431
1255351400
1331505985
141bc66b28
15121aa660
hexb9e9200

194941440 has 120 divisors (see below), whose sum is σ = 675216828. Its totient is φ = 51978240.

The previous prime is 194941379. The next prime is 194941441. The reversal of 194941440 is 44149491.

It can be written as a sum of positive squares in 2 ways, for example, as 192432384 + 2509056 = 13872^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 194941395 and 194941404.

It is not an unprimeable number, because it can be changed into a prime (194941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18810 + ... + 27270.

Almost surely, 2194941440 is an apocalyptic number.

194941440 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 194941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337608414).

194941440 is an abundant number, since it is smaller than the sum of its proper divisors (480275388).

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

194941440 is an equidigital number, since it uses as much as digits as its factorization.

194941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 194941440 is about 13962.1431019740. The cubic root of 194941440 is about 579.8309455774.

The spelling of 194941440 in words is "one hundred ninety-four million, nine hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 8461 11520 16922 23040 25383 33844 42305 50766 67688 76149 84610 101532 126915 135376 152298 169220 203064 253830 270752 304596 338440 380745 406128 507660 541504 609192 676880 761490 812256 1015320 1083008 1218384 1353760 1522980 1624512 2030640 2166016 2436768 2707520 3045960 3249024 4061280 4332032 4873536 5415040 6091920 6498048 8122560 9747072 10830080 12183840 12996096 16245120 19494144 21660160 24367680 32490240 38988288 48735360 64980480 97470720 194941440