Search a number
-
+
198037000 = 23537191489
BaseRepresentation
bin10111100110111…
…00111000001000
3111210122022200201
423303130320020
5401144141000
631352341544
74623200230
oct1363347010
9453568621
10198037000
11a1872147
12563a48b4
133204a975
141c430cc0
15125bc96a
hexbcdce08

198037000 has 128 divisors (see below), whose sum is σ = 557856000. Its totient is φ = 64281600.

The previous prime is 198036997. The next prime is 198037001. The reversal of 198037000 is 730891.

198037000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1980370003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 198037000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198037001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132256 + ... + 133744.

It is an arithmetic number, because the mean of its divisors is an integer number (4358250).

Almost surely, 2198037000 is an apocalyptic number.

198037000 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 198037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278928000).

198037000 is an abundant number, since it is smaller than the sum of its proper divisors (359819000).

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

198037000 is a wasteful number, since it uses less digits than its factorization.

198037000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 198037000 is about 14072.5619558061. The cubic root of 198037000 is about 582.8839713901.

Adding to 198037000 its reverse (730891), we get a palindrome (198767891).

The spelling of 198037000 in words is "one hundred ninety-eight million, thirty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1489 1750 1900 2375 2660 2978 3325 3500 3800 4750 5320 5956 6650 7000 7445 9500 10423 11912 13300 14890 16625 19000 20846 26600 28291 29780 33250 37225 41692 52115 56582 59560 66500 74450 83384 104230 113164 133000 141455 148900 186125 198037 208460 226328 260575 282910 297800 372250 396074 416920 521150 565820 707275 744500 792148 990185 1042300 1131640 1302875 1414550 1489000 1584296 1980370 2084600 2605750 2829100 3536375 3960740 4950925 5211500 5658200 7072750 7921480 9901850 10423000 14145500 19803700 24754625 28291000 39607400 49509250 99018500 198037000