Search a number
-
+
1433138740 = 22511231072647
BaseRepresentation
bin101010101101011…
…1111011000110100
310200212200222202121
41111122333120310
510413340414430
6354113045324
750341323025
oct12532773064
93625628677
101433138740
11675a73390
1233bb56844
1319abb22b7
14d849ac4c
1585c3da7a
hex556bf634

1433138740 has 96 divisors (see below), whose sum is σ = 3459262464. Its totient is φ = 493637760.

The previous prime is 1433138737. The next prime is 1433138771. The reversal of 1433138740 is 478313341.

It is a junction number, because it is equal to n+sod(n) for n = 1433138696 and 1433138705.

It is a congruent number.

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, 540097 + ... + 542743.

It is an arithmetic number, because the mean of its divisors is an integer number (36033984).

Almost surely, 21433138740 is an apocalyptic number.

1433138740 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 1433138740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729631232).

1433138740 is an abundant number, since it is smaller than the sum of its proper divisors (2026123724).

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

1433138740 is a wasteful number, since it uses less digits than its factorization.

1433138740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 1433138740 is about 37856.8189366196. The cubic root of 1433138740 is about 1127.4468527217.

The spelling of 1433138740 in words is "one billion, four hundred thirty-three million, one hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 107 110 115 214 220 230 253 428 460 506 535 1012 1070 1177 1265 2140 2354 2461 2530 2647 4708 4922 5060 5294 5885 9844 10588 11770 12305 13235 23540 24610 26470 27071 29117 49220 52940 54142 58234 60881 108284 116468 121762 135355 145585 243524 270710 283229 291170 304405 541420 566458 582340 608810 669691 1132916 1217620 1339382 1416145 2678764 2832290 3115519 3348455 5664580 6231038 6514267 6696910 12462076 13028534 13393820 15577595 26057068 31155190 32571335 62310380 65142670 71656937 130285340 143313874 286627748 358284685 716569370 1433138740