Search a number
-
+
103065534 = 23511131483
BaseRepresentation
bin1100010010010…
…10011110111110
321011221021100000
412021022132332
5202341044114
614121015130
72361020415
oct611123676
9234837300
10103065534
11531a5730
122a6244a6
1318477c30
14d98c47c
1590ace09
hex624a7be

103065534 has 96 divisors (see below), whose sum is σ = 272248704. Its totient is φ = 28810080.

The previous prime is 103065463. The next prime is 103065541. The reversal of 103065534 is 435560301.

103065534 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 655 + 3 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 103065498 and 103065507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68757 + ... + 70239.

It is an arithmetic number, because the mean of its divisors is an integer number (2835924).

Almost surely, 2103065534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103065534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136124352).

103065534 is an abundant number, since it is smaller than the sum of its proper divisors (169183170).

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

103065534 is a wasteful number, since it uses less digits than its factorization.

103065534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 103065534 is about 10152.1196801456. The cubic root of 103065534 is about 468.8542091512.

It can be divided in two parts, 1030 and 65534, that added together give a square (66564 = 2582).

The spelling of 103065534 in words is "one hundred three million, sixty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1053 1287 1483 1782 2106 2574 2673 2966 3159 3861 4449 5346 6318 7722 8898 11583 13347 16313 19279 23166 26694 32626 34749 38558 40041 48939 57837 69498 80082 97878 115674 120123 146817 173511 212069 240246 293634 347022 360369 424138 440451 520533 636207 720738 880902 1041066 1272414 1321353 1561599 1908621 2642706 3123198 3817242 3964059 4684797 5725863 7928118 9369594 11451726 17177589 34355178 51532767 103065534