Search a number
-
+
146005944 = 23371137691
BaseRepresentation
bin10001011001111…
…01111110111000
3101011201212111120
420230331332320
5244334142234
622253225240
73422013210
oct1054757670
9334655446
10146005944
1175464477
1240a92220
1324330c66
1415569240
15cc41049
hex8b3dfb8

146005944 has 64 divisors (see below), whose sum is σ = 420906240. Its totient is φ = 41341440.

The previous prime is 146005927. The next prime is 146005949. The reversal of 146005944 is 449500641.

It is a super-2 number, since 2×1460059442 = 42635471366662272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146005949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15139 + ... + 22829.

It is an arithmetic number, because the mean of its divisors is an integer number (6576660).

Almost surely, 2146005944 is an apocalyptic number.

146005944 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 146005944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210453120).

146005944 is an abundant number, since it is smaller than the sum of its proper divisors (274900296).

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

146005944 is a wasteful number, since it uses less digits than its factorization.

146005944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 146005944 is about 12083.2919355613. The cubic root of 146005944 is about 526.5708885989.

The spelling of 146005944 in words is "one hundred forty-six million, five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 7691 9492 15382 18984 23073 30764 46146 53837 61528 92292 107674 161511 184584 215348 323022 430696 646044 869083 1292088 1738166 2607249 3476332 5214498 6083581 6952664 10428996 12167162 18250743 20857992 24334324 36501486 48668648 73002972 146005944