Search a number
-
+
10105074 = 234721967
BaseRepresentation
bin100110100011…
…000011110010
3201000101120000
4212203003302
510041330244
61000330430
7151614600
oct46430362
921011500
1010105074
115782101
123473a16
13212a645
1414b0870
15d49169
hex9a30f2

10105074 has 120 divisors (see below), whose sum is σ = 28139760. Its totient is φ = 2694384.

The previous prime is 10105061. The next prime is 10105091. The reversal of 10105074 is 47050101.

It is a super-2 number, since 2×101050742 = 204225041090952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 150789 + ... + 150855.

It is an arithmetic number, because the mean of its divisors is an integer number (234498).

Almost surely, 210105074 is an apocalyptic number.

10105074 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 10105074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069880).

10105074 is an abundant number, since it is smaller than the sum of its proper divisors (18034686).

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

10105074 is a wasteful number, since it uses less digits than its factorization.

10105074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10105074 is about 3178.8479045088. The cubic root of 10105074 is about 216.1954249887.

Adding to 10105074 its reverse (47050101), we get a palindrome (57155175).

It can be divided in two parts, 101050 and 74, that added together give a square (101124 = 3182).

The spelling of 10105074 in words is "ten million, one hundred five thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 67 81 98 114 126 133 134 147 162 171 189 201 266 294 342 378 399 402 441 469 513 567 603 798 882 931 938 1026 1134 1197 1206 1273 1323 1407 1539 1809 1862 2394 2546 2646 2793 2814 3078 3283 3591 3618 3819 3969 4221 5427 5586 6566 7182 7638 7938 8379 8442 8911 9849 10773 10854 11457 12663 16758 17822 19698 21546 22914 25137 25326 26733 29547 34371 37989 50274 53466 59094 62377 68742 75411 75978 80199 88641 103113 124754 150822 160398 177282 187131 206226 240597 265923 374262 481194 531846 561393 721791 1122786 1443582 1684179 3368358 5052537 10105074