Search a number
-
+
161949000 = 23353371459
BaseRepresentation
bin10011010011100…
…10010101001000
3102021201212021010
421221302111020
5312424332000
624023043520
74004354343
oct1151622510
9367655233
10161949000
1183463754
12462a05a0
1327723915
141771945a
15e33ed50
hex9a72548

161949000 has 128 divisors (see below), whose sum is σ = 519292800. Its totient is φ = 41990400.

The previous prime is 161948993. The next prime is 161949031. The reversal of 161949000 is 949161.

161949000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110271 + ... + 111729.

It is an arithmetic number, because the mean of its divisors is an integer number (4056975).

Almost surely, 2161949000 is an apocalyptic number.

161949000 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 161949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259646400).

161949000 is an abundant number, since it is smaller than the sum of its proper divisors (357343800).

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

161949000 is a wasteful number, since it uses less digits than its factorization.

161949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 161949000 is about 12725.9184344392. The cubic root of 161949000 is about 545.0789661972.

The spelling of 161949000 in words is "one hundred sixty-one million, nine hundred forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1459 1480 1500 1850 2220 2775 2918 3000 3700 4377 4440 4625 5550 5836 7295 7400 8754 9250 11100 11672 13875 14590 17508 18500 21885 22200 27750 29180 35016 36475 37000 43770 53983 55500 58360 72950 87540 107966 109425 111000 145900 161949 175080 182375 215932 218850 269915 291800 323898 364750 431864 437700 539830 547125 647796 729500 809745 875400 1079660 1094250 1295592 1349575 1459000 1619490 2159320 2188500 2699150 3238980 4048725 4377000 5398300 6477960 6747875 8097450 10796600 13495750 16194900 20243625 26991500 32389800 40487250 53983000 80974500 161949000