Search a number
-
+
8141436 = 22321753251
BaseRepresentation
bin11111000011101001111100
3120022121221200
4133003221330
54041011221
6450255500
7126125652
oct37035174
916277850
108141436
114660866
122887590
1318c0924
14111cdd2
15aac426
hex7c3a7c

8141436 has 72 divisors (see below), whose sum is σ = 22289904. Its totient is φ = 2496000.

The previous prime is 8141423. The next prime is 8141449. The reversal of 8141436 is 6341418.

8141436 = 1742 + 1752 + ... + 3092.

It is an interprime number because it is at equal distance from previous prime (8141423) and next prime (8141449).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32311 + ... + 32561.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 28141436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952).

8141436 is an abundant number, since it is smaller than the sum of its proper divisors (14148468).

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

8141436 is a wasteful number, since it uses less digits than its factorization.

8141436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8141436 is about 2853.3201713092. The cubic root of 8141436 is about 201.1717548789.

The spelling of 8141436 in words is "eight million, one hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 251 306 318 477 502 612 636 753 901 954 1004 1506 1802 1908 2259 2703 3012 3604 4267 4518 5406 8109 8534 9036 10812 12801 13303 16218 17068 25602 26606 32436 38403 39909 51204 53212 76806 79818 119727 153612 159636 226151 239454 452302 478908 678453 904604 1356906 2035359 2713812 4070718 8141436