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146005104 = 24372232699
BaseRepresentation
bin10001011001111…
…01110001110000
3101011201211100110
420230331301300
5244334130404
622253221320
73422010600
oct1054756160
9334654313
10146005104
1175463883
1240a91840
132433076b
1415568c00
15cc40b89
hex8b3dc70

146005104 has 120 divisors (see below), whose sum is σ = 458006400. Its totient is φ = 39887232.

The previous prime is 146005103. The next prime is 146005199. The reversal of 146005104 is 401500641.

146005104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146005103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52747 + ... + 55445.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2146005104 is an apocalyptic number.

146005104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003200).

146005104 is an abundant number, since it is smaller than the sum of its proper divisors (312001296).

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

146005104 is a wasteful number, since it uses less digits than its factorization.

146005104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 146005104 is about 12083.2571767715. The cubic root of 146005104 is about 526.5698787761.

Adding to 146005104 its reverse (401500641), we get a palindrome (547505745).

The spelling of 146005104 in words is "one hundred forty-six million, five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 2699 3381 3864 4508 5398 6762 7728 8097 9016 10796 13524 16194 18032 18893 21592 27048 32388 37786 43184 54096 56679 62077 64776 75572 113358 124154 129552 132251 151144 186231 226716 248308 264502 302288 372462 396753 434539 453432 496616 529004 744924 793506 869078 906864 993232 1058008 1303617 1489848 1587012 1738156 2116016 2607234 2979696 3041773 3174024 3476312 5214468 6083546 6348048 6952624 9125319 10428936 12167092 18250638 20857872 24334184 36501276 48668368 73002552 146005104