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194120064 = 2735792
BaseRepresentation
bin10111001001000…
…00100110000000
3111112021022200000
423210200212000
5344143320224
631132400000
74544664465
oct1344404600
9445238600
10194120064
119a637306
1255016000
13312a8b58
141bad166c
15120970c9
hexb920980

194120064 has 144 divisors (see below), whose sum is σ = 586715220. Its totient is φ = 63887616.

The previous prime is 194120063. The next prime is 194120077. The reversal of 194120064 is 460021491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194120063) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2457177 + ... + 2457255.

Almost surely, 2194120064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293357610).

194120064 is an abundant number, since it is smaller than the sum of its proper divisors (392595156).

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

194120064 is an frugal number, since it uses more digits than its factorization.

194120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 194120064 is about 13932.6976569507. The cubic root of 194120064 is about 579.0154362445.

The spelling of 194120064 in words is "one hundred ninety-four million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 243 288 316 324 384 432 474 486 576 632 648 711 864 948 972 1152 1264 1296 1422 1728 1896 1944 2133 2528 2592 2844 3456 3792 3888 4266 5056 5184 5688 6241 6399 7584 7776 8532 10112 10368 11376 12482 12798 15168 15552 17064 18723 19197 22752 24964 25596 30336 31104 34128 37446 38394 45504 49928 51192 56169 68256 74892 76788 91008 99856 102384 112338 136512 149784 153576 168507 199712 204768 224676 273024 299568 307152 337014 399424 409536 449352 505521 599136 614304 674028 798848 819072 898704 1011042 1198272 1228608 1348056 1516563 1797408 2022084 2396544 2457216 2696112 3033126 3594816 4044168 5392224 6066252 7189632 8088336 10784448 12132504 16176672 21568896 24265008 32353344 48530016 64706688 97060032 194120064