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100055046 = 23713297189
BaseRepresentation
bin1011111011010…
…11100000000110
320222021022201110
411331223200012
5201103230141
613532305450
72323311450
oct575534006
9228238643
10100055046
1151529923
1229612286
1317962890
14d4072d0
158bb5e16
hex5f6b806

100055046 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 24837120.

The previous prime is 100055029. The next prime is 100055051. The reversal of 100055046 is 640550001.

It is a happy number.

It is a super-2 number, since 2×1000550462 = 20022024460124232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1124170 + ... + 1124258.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2100055046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100055046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

100055046 is an abundant number, since it is smaller than the sum of its proper divisors (161218554).

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

100055046 is a wasteful number, since it uses less digits than its factorization.

100055046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 100055046 is about 10002.7519213464. The cubic root of 100055046 is about 464.2440347054.

It can be divided in two parts, 10005 and 5046, that added together give a palindrome (15051).

The spelling of 100055046 in words is "one hundred million, fifty-five thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 71 78 87 89 91 142 174 178 182 203 213 267 273 377 406 426 497 534 546 609 623 754 923 994 1131 1157 1218 1246 1491 1846 1869 2059 2262 2314 2581 2639 2769 2982 3471 3738 4118 5162 5278 5538 6177 6319 6461 6942 7743 7917 8099 12354 12638 12922 14413 15486 15834 16198 18067 18957 19383 24297 26767 28826 33553 36134 37914 38766 43239 44233 48594 53534 54201 67106 80301 82147 86478 88466 100659 108402 132699 160602 164294 183251 187369 201318 234871 246441 265398 366502 374738 469742 492882 549753 562107 575029 704613 1099506 1124214 1150058 1282757 1409226 1725087 2382263 2565514 3450174 3848271 4764526 7146789 7696542 14293578 16675841 33351682 50027523 100055046