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194169920 = 2657175099
BaseRepresentation
bin10111001001011…
…00110001000000
3111112100212001112
423210230301000
5344201414140
631133422452
74545263030
oct1344546100
9445325045
10194169920
119a67080a
125503aa28
13312c5759
141bb058c0
15120a6c65
hexb92cc40

194169920 has 112 divisors (see below), whose sum is σ = 559612800. Its totient is φ = 62644224.

The previous prime is 194169917. The next prime is 194169923. The reversal of 194169920 is 29961491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (194169917) and next prime (194169923).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (194169923) 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 15 ways as a sum of consecutive naturals, for example, 35531 + ... + 40629.

Almost surely, 2194169920 is an apocalyptic number.

194169920 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 194169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279806400).

194169920 is an abundant number, since it is smaller than the sum of its proper divisors (365442880).

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

194169920 is a wasteful number, since it uses less digits than its factorization.

194169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 194169920 is about 13934.4867146228. The cubic root of 194169920 is about 579.0650016560.

The spelling of 194169920 in words is "one hundred ninety-four million, one hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5099 5440 7616 9520 10198 19040 20396 25495 35693 38080 40792 50990 71386 81584 86683 101980 142772 163168 173366 178465 203960 285544 326336 346732 356930 407920 433415 571088 606781 693464 713860 815840 866830 1142176 1213562 1386928 1427720 1631680 1733660 2284352 2427124 2773856 2855440 3033905 3467320 4854248 5547712 5710880 6067810 6934640 9708496 11421760 12135620 13869280 19416992 24271240 27738560 38833984 48542480 97084960 194169920