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190871920 = 24517293479
BaseRepresentation
bin10110110000001…
…11100101110000
3111022011022001101
423120013211300
5342330400140
630535014144
74505245621
oct1330074560
9438138041
10190871920
1198818998
1253b0a354
133070c585
141b4c7a48
1511b5499a
hexb607970

190871920 has 80 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 71462912.

The previous prime is 190871911. The next prime is 190871951. The reversal of 190871920 is 29178091.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 190871920.

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, 398241 + ... + 398719.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2190871920 is an apocalyptic number.

190871920 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 190871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

190871920 is an abundant number, since it is smaller than the sum of its proper divisors (281597840).

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

190871920 is a wasteful number, since it uses less digits than its factorization.

190871920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 190871920 is about 13815.6404122285. The cubic root of 190871920 is about 575.7677658187.

The spelling of 190871920 in words is "one hundred ninety million, eight hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 293 340 479 586 680 958 1172 1360 1465 1916 2344 2395 2930 3832 4688 4790 4981 5860 7664 8143 9580 9962 11720 16286 19160 19924 23440 24905 32572 38320 39848 40715 49810 65144 79696 81430 99620 130288 140347 162860 199240 280694 325720 398480 561388 651440 701735 1122776 1403470 2245552 2385899 2806940 4771798 5613880 9543596 11227760 11929495 19087192 23858990 38174384 47717980 95435960 190871920