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147648040 = 23523312167
BaseRepresentation
bin10001100110011…
…10111000101000
3101021211022000221
420303032320220
5300244214130
622352335424
73441662521
oct1063167050
9337738027
10147648040
1176386181
1241544574
1324787507
1415875848
15ce6787a
hex8ccee28

147648040 has 96 divisors (see below), whose sum is σ = 360339840. Its totient is φ = 54341760.

The previous prime is 147648029. The next prime is 147648049. The reversal of 147648040 is 40846741.

147648040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 147647987 and 147648005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147648049) 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, 884037 + ... + 884203.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540).

Almost surely, 2147648040 is an apocalyptic number.

147648040 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 147648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180169920).

147648040 is an abundant number, since it is smaller than the sum of its proper divisors (212691800).

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

147648040 is a wasteful number, since it uses less digits than its factorization.

147648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 147648040 is about 12151.0509833512. The cubic root of 147648040 is about 528.5376086052.

The spelling of 147648040 in words is "one hundred forty-seven million, six hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 167 184 230 248 310 334 460 620 668 713 835 920 961 1240 1336 1426 1670 1922 2852 3340 3565 3841 3844 4805 5177 5704 6680 7130 7682 7688 9610 10354 14260 15364 19205 19220 20708 22103 25885 28520 30728 38410 38440 41416 44206 51770 76820 88412 103540 110515 119071 153640 160487 176824 207080 221030 238142 320974 442060 476284 595355 641948 802435 884120 952568 1190710 1283896 1604870 2381420 3209740 3691201 4762840 6419480 7382402 14764804 18456005 29529608 36912010 73824020 147648040