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194414080 = 295719571
BaseRepresentation
bin10111001011010…
…00011000000000
3111112211020222111
423211220120000
5344232222310
631142545104
74550330620
oct1345503000
9445736874
10194414080
119a8181a3
1255138194
133137c923
141bb6a880
151210428a
hexb968600

194414080 has 160 divisors (see below), whose sum is σ = 561749760. Its totient is φ = 63037440.

The previous prime is 194414069. The next prime is 194414081. The reversal of 194414080 is 80414491.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194414081) 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, 340195 + ... + 340765.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2194414080 is an apocalyptic number.

194414080 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 194414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280874880).

194414080 is an abundant number, since it is smaller than the sum of its proper divisors (367335680).

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

194414080 is an equidigital number, since it uses as much as digits as its factorization.

194414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 194414080 is about 13943.2449594777. The cubic root of 194414080 is about 579.3076161156.

The spelling of 194414080 in words is "one hundred ninety-four million, four hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 571 608 640 665 760 896 1064 1120 1142 1216 1280 1330 1520 1792 2128 2240 2284 2432 2560 2660 2855 3040 3584 3997 4256 4480 4568 4864 5320 5710 6080 7994 8512 8960 9136 9728 10640 10849 11420 12160 15988 17024 17920 18272 19985 21280 21698 22840 24320 31976 34048 36544 39970 42560 43396 45680 48640 54245 63952 68096 73088 75943 79940 85120 86792 91360 108490 127904 146176 151886 159880 170240 173584 182720 216980 255808 292352 303772 319760 340480 347168 365440 379715 433960 511616 607544 639520 694336 730880 759430 867920 1023232 1215088 1279040 1388672 1461760 1518860 1735840 2046464 2430176 2558080 2777344 3037720 3471680 4860352 5116160 5554688 6075440 6943360 9720704 10232320 12150880 13886720 19441408 24301760 27773440 38882816 48603520 97207040 194414080