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147483540 = 223251097517
BaseRepresentation
bin10001100101001…
…10101110010100
3101021111221101100
420302212232110
5300223433130
622345030100
73440406111
oct1062465624
9337457340
10147483540
1176283626
1241485330
132472a689
1415831908
15ce33c60
hex8ca6b94

147483540 has 72 divisors (see below), whose sum is σ = 451531080. Its totient is φ = 38962944.

The previous prime is 147483527. The next prime is 147483547. The reversal of 147483540 is 45384741.

It can be written as a sum of positive squares in 4 ways, for example, as 59536656 + 87946884 = 7716^2 + 9378^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147483495 and 147483504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147483547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15862 + ... + 23378.

It is an arithmetic number, because the mean of its divisors is an integer number (6271265).

Almost surely, 2147483540 is an apocalyptic number.

147483540 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 147483540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225765540).

147483540 is an abundant number, since it is smaller than the sum of its proper divisors (304047540).

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

147483540 is a wasteful number, since it uses less digits than its factorization.

147483540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 147483540 is about 12144.2801351089. The cubic root of 147483540 is about 528.3412480667.

The spelling of 147483540 in words is "one hundred forty-seven million, four hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 7517 9810 15034 19620 22551 30068 37585 45102 67653 75170 90204 112755 135306 150340 225510 270612 338265 451020 676530 819353 1353060 1638706 2458059 3277412 4096765 4916118 7374177 8193530 9832236 12290295 14748354 16387060 24580590 29496708 36870885 49161180 73741770 147483540