Search a number
-
+
196423440 = 243517311553
BaseRepresentation
bin10111011010100…
…10111100010000
3111200121100022020
423231102330100
5400241022230
631254011440
74603400043
oct1355227420
9450540266
10196423440
11a096a924
1255946b80
13319043b5
141c130c5a
151239e810
hexbb52f10

196423440 has 160 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 47677440.

The previous prime is 196423439. The next prime is 196423499. The reversal of 196423440 is 44324691.

196423440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 125704 + ... + 127256.

Almost surely, 2196423440 is an apocalyptic number.

196423440 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 196423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

196423440 is an abundant number, since it is smaller than the sum of its proper divisors (469533936).

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

196423440 is a wasteful number, since it uses less digits than its factorization.

196423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 196423440 is about 14015.1146980679. The cubic root of 196423440 is about 581.2965840801.

The spelling of 196423440 in words is "one hundred ninety-six million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 408 465 496 510 527 620 680 744 816 930 1020 1054 1240 1360 1488 1553 1581 1860 2040 2108 2480 2635 3106 3162 3720 4080 4216 4659 5270 6212 6324 7440 7765 7905 8432 9318 10540 12424 12648 15530 15810 18636 21080 23295 24848 25296 26401 31060 31620 37272 42160 46590 48143 52802 62120 63240 74544 79203 93180 96286 105604 124240 126480 132005 144429 158406 186360 192572 211208 240715 264010 288858 316812 372720 385144 396015 422416 481430 528020 577716 633624 722145 770288 792030 818431 962860 1056040 1155432 1267248 1444290 1584060 1636862 1925720 2112080 2310864 2455293 2888580 3168120 3273724 3851440 4092155 4910586 5777160 6336240 6547448 8184310 9821172 11554320 12276465 13094896 16368620 19642344 24552930 32737240 39284688 49105860 65474480 98211720 196423440