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1204423120 = 245433471009
BaseRepresentation
bin100011111001010…
…0000100111010000
310002221100000220201
41013302200213100
54431313014440
6315302544544
741563266445
oct10762404720
93087300821
101204423120
11568957a0a
12297438154
131626b2804
14b5d619cc
1570b1119a
hex47ca09d0

1204423120 has 80 divisors (see below), whose sum is σ = 2876512320. Its totient is φ = 468744192.

The previous prime is 1204423117. The next prime is 1204423127. The reversal of 1204423120 is 213244021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204423127) 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, 1193176 + ... + 1194184.

It is an arithmetic number, because the mean of its divisors is an integer number (35956404).

Almost surely, 21204423120 is an apocalyptic number.

1204423120 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 1204423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438256160).

1204423120 is an abundant number, since it is smaller than the sum of its proper divisors (1672089200).

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

1204423120 is a wasteful number, since it uses less digits than its factorization.

1204423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1204423120 is about 34704.7996680574. The cubic root of 1204423120 is about 1063.9625978523.

Adding to 1204423120 its reverse (213244021), we get a palindrome (1417667141).

The spelling of 1204423120 in words is "one billion, two hundred four million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 347 430 688 694 860 1009 1388 1720 1735 2018 2776 3440 3470 4036 5045 5552 6940 8072 10090 13880 14921 16144 20180 27760 29842 40360 43387 59684 74605 80720 86774 119368 149210 173548 216935 238736 298420 347096 350123 433870 596840 694192 700246 867740 1193680 1400492 1735480 1750615 2800984 3470960 3501230 5601968 7002460 14004920 15055289 28009840 30110578 60221156 75276445 120442312 150552890 240884624 301105780 602211560 1204423120