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146105440 = 25513193697
BaseRepresentation
bin10001011010101…
…10010001100000
3101011220220222121
420231112101200
5244400333230
622255314024
73422606245
oct1055262140
9334826877
10146105440
11755221a8
1240b1b914
1324367330
14155935cc
15cc6077a
hex8b56460

146105440 has 96 divisors (see below), whose sum is σ = 391396320. Its totient is φ = 51093504.

The previous prime is 146105437. The next prime is 146105483. The reversal of 146105440 is 44501641.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 37672 + ... + 41368.

It is an arithmetic number, because the mean of its divisors is an integer number (4077045).

Almost surely, 2146105440 is an apocalyptic number.

146105440 is a gapful number since it is divisible by the number (10) 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 146105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195698160).

146105440 is an abundant number, since it is smaller than the sum of its proper divisors (245290880).

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

146105440 is a wasteful number, since it uses less digits than its factorization.

146105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 146105440 is about 12087.4083243680. The cubic root of 146105440 is about 526.6904723168.

The spelling of 146105440 in words is "one hundred forty-six million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1235 1520 1976 2080 2470 3040 3697 3952 4940 7394 7904 9880 14788 18485 19760 29576 36970 39520 48061 59152 70243 73940 96122 118304 140486 147880 192244 240305 280972 295760 351215 384488 480610 561944 591520 702430 768976 913159 961220 1123888 1404860 1537952 1826318 1922440 2247776 2809720 3652636 3844880 4565795 5619440 7305272 7689760 9131590 11238880 14610544 18263180 29221088 36526360 73052720 146105440