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144606540 = 22351331097
BaseRepresentation
bin10001001111010…
…00010101001100
3101002002202212210
420213220111030
5244004402130
622203230420
73404064261
oct1047502514
9332082783
10144606540
1174699041
1240518410
1323c61000
14152c3268
15ca665b0
hex89e854c

144606540 has 96 divisors (see below), whose sum is σ = 439024320. Its totient is φ = 35563008.

The previous prime is 144606521. The next prime is 144606551. The reversal of 144606540 is 45606441.

It is a super-2 number, since 2×1446065402 = 41822102821543200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144606498 and 144606507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131272 + ... + 132368.

It is an arithmetic number, because the mean of its divisors is an integer number (4573170).

Almost surely, 2144606540 is an apocalyptic number.

144606540 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 144606540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219512160).

144606540 is an abundant number, since it is smaller than the sum of its proper divisors (294417780).

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

144606540 is a wasteful number, since it uses less digits than its factorization.

144606540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144606540 is about 12025.2459434308. The cubic root of 144606540 is about 524.8831667457.

Subtracting from 144606540 its reverse (45606441), we obtain a palindrome (99000099).

The spelling of 144606540 in words is "one hundred forty-four million, six hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1097 1690 2028 2194 2197 2535 3291 3380 4388 4394 5070 5485 6582 6591 8788 10140 10970 10985 13164 13182 14261 16455 21940 21970 26364 28522 32910 32955 42783 43940 57044 65820 65910 71305 85566 131820 142610 171132 185393 213915 285220 370786 427830 556179 741572 855660 926965 1112358 1853930 2224716 2410109 2780895 3707860 4820218 5561790 7230327 9640436 11123580 12050545 14460654 24101090 28921308 36151635 48202180 72303270 144606540