Search a number
-
+
106005423630 = 23543611347127
BaseRepresentation
bin110001010111001101…
…0100110011000001110
3101010121200220110202010
41202232122212120032
53214044342024010
6120410452042050
710441625143131
oct1425632463016
9333550813663
10106005423630
1140a58330827
1218665003326
139cc4a57052
1451b8882218
152b56594620
hex18ae6a660e

106005423630 has 64 divisors (see below), whose sum is σ = 264597493248. Its totient is φ = 27158060160.

The previous prime is 106005423619. The next prime is 106005423647. The reversal of 106005423630 is 36324500601.

It is a super-2 number, since 2×1060054236302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 594874 + ... + 752253.

It is an arithmetic number, because the mean of its divisors is an integer number (4134335832).

Almost surely, 2106005423630 is an apocalyptic number.

106005423630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106005423630 is an abundant number, since it is smaller than the sum of its proper divisors (158592069618).

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

106005423630 is a wasteful number, since it uses less digits than its factorization.

106005423630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347241.

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 106005423630 in words is "one hundred six billion, five million, four hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 61 86 122 129 183 215 258 305 366 430 610 645 915 1290 1830 2623 5246 7869 13115 15738 26230 39345 78690 1347127 2694254 4041381 6735635 8082762 13471270 20206905 40413810 57926461 82174747 115852922 164349494 173779383 246524241 289632305 347558766 410873735 493048482 579264610 821747470 868896915 1232621205 1737793830 2465242410 3533514121 7067028242 10600542363 17667570605 21201084726 35335141210 53002711815 106005423630