Search a number
-
+
190208000 = 21153743
BaseRepresentation
bin10110101011001…
…01100000000000
3111020220120022202
423111211200000
5342143124000
630512452332
74466512163
oct1325454000
9436816282
10190208000
11984050a4
125384a0a8
1330539318
141b393ada
1511a72dd5
hexb565800

190208000 has 96 divisors (see below), whose sum is σ = 475282080. Its totient is φ = 75980800.

The previous prime is 190207991. The next prime is 190208003. The reversal of 190208000 is 802091.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190208003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255629 + ... + 256371.

It is an arithmetic number, because the mean of its divisors is an integer number (4950855).

Almost surely, 2190208000 is an apocalyptic number.

190208000 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 190208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

190208000 is an abundant number, since it is smaller than the sum of its proper divisors (285074080).

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

190208000 is an frugal number, since it uses more digits than its factorization.

190208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 190208000 is about 13791.5916412864. The cubic root of 190208000 is about 575.0994157026.

The spelling of 190208000 in words is "one hundred ninety million, two hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 743 800 1000 1024 1280 1486 1600 2000 2048 2560 2972 3200 3715 4000 5120 5944 6400 7430 8000 10240 11888 12800 14860 16000 18575 23776 25600 29720 32000 37150 47552 51200 59440 64000 74300 92875 95104 118880 128000 148600 185750 190208 237760 256000 297200 371500 380416 475520 594400 743000 760832 951040 1188800 1486000 1521664 1902080 2377600 2972000 3804160 4755200 5944000 7608320 9510400 11888000 19020800 23776000 38041600 47552000 95104000 190208000