Search a number
-
+
690641250 = 23541331457
BaseRepresentation
bin101001001010100…
…101100101100010
31210010120012200120
4221022211211202
52403301010000
6152310501110
723054232225
oct5112454542
91703505616
10690641250
11324937aa2
12173364796
13b0113680
1467a1d5bc
15409746a0
hex292a5962

690641250 has 160 divisors (see below), whose sum is σ = 1922984448. Its totient is φ = 164160000.

The previous prime is 690641239. The next prime is 690641267. The reversal of 690641250 is 52146096.

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 79 ways as a sum of consecutive naturals, for example, 1511022 + ... + 1511478.

Almost surely, 2690641250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690641250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961492224).

690641250 is an abundant number, since it is smaller than the sum of its proper divisors (1232343198).

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

690641250 is a wasteful number, since it uses less digits than its factorization.

690641250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 690641250 is about 26280.0542236884. The cubic root of 690641250 is about 883.9292486184.

The spelling of 690641250 in words is "six hundred ninety million, six hundred forty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 125 130 150 155 186 195 250 310 325 375 390 403 457 465 625 650 750 775 806 914 930 975 1209 1250 1371 1550 1625 1875 1950 2015 2285 2325 2418 2742 3250 3750 3875 4030 4570 4650 4875 5941 6045 6855 7750 8125 9750 10075 11425 11625 11882 12090 13710 14167 16250 17823 19375 20150 22850 23250 24375 28334 29705 30225 34275 35646 38750 42501 48750 50375 57125 58125 59410 60450 68550 70835 85002 89115 100750 114250 116250 141670 148525 151125 171375 178230 184171 212505 251875 285625 297050 302250 342750 354175 368342 425010 445575 503750 552513 571250 708350 742625 755625 856875 891150 920855 1062525 1105026 1485250 1511250 1713750 1770875 1841710 2125050 2227875 2762565 3541750 3713125 4455750 4604275 5312625 5525130 7426250 8854375 9208550 10625250 11139375 13812825 17708750 22278750 23021375 26563125 27625650 46042750 53126250 69064125 115106875 138128250 230213750 345320625 690641250