Search a number
-
+
196501140 = 223451111027
BaseRepresentation
bin10111011011001…
…01111010010100
3111200202021220000
423231211322110
5400301014030
631255411300
74604142423
oct1355457224
9450667800
10196501140
11a0a13240
1255983b30
1331930884
141c1512ba
15123b7860
hexbb65e94

196501140 has 120 divisors (see below), whose sum is σ = 672531552. Its totient is φ = 47632320.

The previous prime is 196501139. The next prime is 196501141. The reversal of 196501140 is 41105691.

196501140 is a `hidden beast` number, since 1 + 9 + 650 + 1 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (196501139) and next prime (196501141).

It is a super-2 number, since 2×1965011402 = 77225396042599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196501141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12307 + ... + 23333.

Almost surely, 2196501140 is an apocalyptic number.

196501140 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 196501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336265776).

196501140 is an abundant number, since it is smaller than the sum of its proper divisors (476030412).

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

196501140 is a wasteful number, since it uses less digits than its factorization.

196501140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11059 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 196501140 is about 14017.8864312706. The cubic root of 196501140 is about 581.3732225748.

The spelling of 196501140 in words is "one hundred ninety-six million, five hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 11027 17820 22054 33081 44108 55135 66162 99243 110270 121297 132324 165405 198486 220540 242594 297729 330810 363891 396972 485188 496215 595458 606485 661620 727782 893187 992430 1091673 1190916 1212970 1455564 1488645 1786374 1819455 1984860 2183346 2425940 2977290 3275019 3572748 3638910 4366692 4465935 5458365 5954580 6550038 7277820 8931870 9825057 10916730 13100076 16375095 17863740 19650114 21833460 32750190 39300228 49125285 65500380 98250570 196501140