Search a number
-
+
103466454 = 237131771157
BaseRepresentation
bin1100010101011…
…00010111010110
321012200122021220
412022230113112
5202441411304
614133351210
72364310320
oct612542726
9235618256
10103466454
1153449973
122a798506
1318588570
14da54610
15913bad9
hex62ac5d6

103466454 has 128 divisors (see below), whose sum is σ = 275208192. Its totient is φ = 25159680.

The previous prime is 103466453. The next prime is 103466479. The reversal of 103466454 is 454664301.

Added to its reverse (454664301) it gives a triangular number (558130755 = T33410).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103466453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658944 + ... + 659100.

It is an arithmetic number, because the mean of its divisors is an integer number (2150064).

Almost surely, 2103466454 is an apocalyptic number.

103466454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103466454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137604096).

103466454 is an abundant number, since it is smaller than the sum of its proper divisors (171741738).

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

103466454 is a wasteful number, since it uses less digits than its factorization.

103466454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 103466454 is about 10171.8461451204. The cubic root of 103466454 is about 469.4613627174.

Adding to 103466454 its reverse (454664301), we get a triangular number (558130755 = T33410).

The spelling of 103466454 in words is "one hundred three million, four hundred sixty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 71 78 91 102 119 142 157 182 213 221 238 273 314 357 426 442 471 497 546 663 714 923 942 994 1099 1207 1326 1491 1547 1846 2041 2198 2414 2669 2769 2982 3094 3297 3621 4082 4641 5338 5538 6123 6461 6594 7242 8007 8449 9282 11147 12246 12922 14287 15691 16014 16898 18683 19383 22294 25347 28574 31382 33441 34697 37366 38766 42861 47073 50694 56049 66882 69394 78029 85722 94146 104091 109837 112098 144911 156058 189499 208182 219674 234087 242879 289822 329511 378998 434733 468174 485758 568497 659022 728637 869466 1014377 1136994 1326493 1457274 2028754 2463487 2652986 3043131 3979479 4926974 6086262 7390461 7958958 14780922 17244409 34488818 51733227 103466454