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1230352000 = 2753131587
BaseRepresentation
bin100100101010101…
…1010111010000000
310011202010100122121
41021111122322000
510004432231000
6322030414024
742326551033
oct11125327200
93152110577
101230352000
11581557739
122a4061314
13167b90747
14b959101a
1573033b1a
hex4955ae80

1230352000 has 128 divisors (see below), whose sum is σ = 3087564480. Its totient is φ = 487552000.

The previous prime is 1230351989. The next prime is 1230352007. The reversal of 1230352000 is 2530321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1230352007) 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 15 ways as a sum of consecutive naturals, for example, 2095707 + ... + 2096293.

Almost surely, 21230352000 is an apocalyptic number.

1230352000 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 1230352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543782240).

1230352000 is an abundant number, since it is smaller than the sum of its proper divisors (1857212480).

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

1230352000 is an equidigital number, since it uses as much as digits as its factorization.

1230352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1230352000 is about 35076.3738148629. The cubic root of 1230352000 is about 1071.5434678901.

Adding to 1230352000 its reverse (2530321), we get a palindrome (1232882321).

The spelling of 1230352000 in words is "one billion, two hundred thirty million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 262 320 400 500 524 587 640 655 800 1000 1048 1174 1310 1600 2000 2096 2348 2620 2935 3200 3275 4000 4192 4696 5240 5870 6550 8000 8384 9392 10480 11740 13100 14675 16000 16375 16768 18784 20960 23480 26200 29350 32750 37568 41920 46960 52400 58700 65500 73375 75136 76897 83840 93920 104800 117400 131000 146750 153794 187840 209600 234800 262000 293500 307588 375680 384485 419200 469600 524000 587000 615176 768970 939200 1048000 1174000 1230352 1537940 1878400 1922425 2096000 2348000 2460704 3075880 3844850 4696000 4921408 6151760 7689700 9392000 9612125 9842816 12303520 15379400 19224250 24607040 30758800 38448500 49214080 61517600 76897000 123035200 153794000 246070400 307588000 615176000 1230352000