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194031072 = 2533713163
BaseRepresentation
bin10111001000010…
…10110111100000
3111112002210121000
423210022313200
5344132443242
631130432000
74544144154
oct1344126740
9445083530
10194031072
119a586464
1254b92600
13312774b1
141baab064
151207aa4c
hexb90ade0

194031072 has 96 divisors (see below), whose sum is σ = 574076160. Its totient is φ = 63745920.

The previous prime is 194031067. The next prime is 194031109. The reversal of 194031072 is 270130491.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59763 + ... + 62925.

It is an arithmetic number, because the mean of its divisors is an integer number (5979960).

Almost surely, 2194031072 is an apocalyptic number.

194031072 is a gapful number since it is divisible by the number (12) 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 194031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287038080).

194031072 is an abundant number, since it is smaller than the sum of its proper divisors (380045088).

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

194031072 is a wasteful number, since it uses less digits than its factorization.

194031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 194031072 is about 13929.5036523201. The cubic root of 194031072 is about 578.9269418410.

The spelling of 194031072 in words is "one hundred ninety-four million, thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3163 3408 3834 5112 6326 6816 7668 9489 10224 12652 15336 18978 20448 25304 28467 30672 37956 50608 56934 61344 75912 85401 101216 113868 151824 170802 224573 227736 303648 341604 449146 455472 673719 683208 898292 910944 1347438 1366416 1796584 2021157 2694876 2732832 3593168 4042314 5389752 6063471 7186336 8084628 10779504 12126942 16169256 21559008 24253884 32338512 48507768 64677024 97015536 194031072