Search a number
-
+
638430870 = 2357111911447
BaseRepresentation
bin100110000011011…
…010111010010110
31122111022122111210
4212003122322112
52301414241440
6143203442250
721551400330
oct4603327226
91574278453
10638430870
112a8417620
12159986386
13a236315c
1460b0c450
153b0aea80
hex260dae96

638430870 has 128 divisors (see below), whose sum is σ = 1921646592. Its totient is φ = 131875200.

The previous prime is 638430857. The next prime is 638430883. The reversal of 638430870 is 78034836.

638430870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (638430857) and next prime (638430883).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440487 + ... + 441933.

It is an arithmetic number, because the mean of its divisors is an integer number (15012864).

Almost surely, 2638430870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638430870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960823296).

638430870 is an abundant number, since it is smaller than the sum of its proper divisors (1283215722).

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

638430870 is a wasteful number, since it uses less digits than its factorization.

638430870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 638430870 is about 25267.1895944128. The cubic root of 638430870 is about 861.0690104549.

The spelling of 638430870 in words is "six hundred thirty-eight million, four hundred thirty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 191 210 231 330 382 385 462 573 770 955 1146 1155 1337 1447 1910 2101 2310 2674 2865 2894 4011 4202 4341 5730 6303 6685 7235 8022 8682 10129 10505 12606 13370 14470 14707 15917 20055 20258 21010 21705 29414 30387 31515 31834 40110 43410 44121 47751 50645 60774 63030 73535 79585 88242 95502 101290 111419 147070 151935 159170 220605 222838 238755 276377 303870 334257 441210 477510 552754 557095 668514 829131 1114190 1381885 1658262 1671285 1934639 2763770 3040147 3342570 3869278 4145655 5803917 6080294 8291310 9120441 9673195 11607834 15200735 18240882 19346390 21281029 29019585 30401470 42562058 45602205 58039170 63843087 91204410 106405145 127686174 212810290 319215435 638430870