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1244161920 = 27351494349
BaseRepresentation
bin100101000101000…
…0110011110000000
310012201002222022010
41022022012132000
510022001140140
6323242412520
742555126141
oct11212063600
93181088263
101244161920
1158932a2a1
122a8801140
1316a9b74b1
14bb347ac8
1574360880
hex4a286780

1244161920 has 128 divisors (see below), whose sum is σ = 3993300000. Its totient is φ = 329474048.

The previous prime is 1244161913. The next prime is 1244161921. The reversal of 1244161920 is 291614421.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244161921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283906 + ... + 288254.

Almost surely, 21244161920 is an apocalyptic number.

1244161920 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 1244161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996650000).

1244161920 is an abundant number, since it is smaller than the sum of its proper divisors (2749138080).

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

1244161920 is a wasteful number, since it uses less digits than its factorization.

1244161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1244161920 is about 35272.6795126200. The cubic root of 1244161920 is about 1075.5376924333.

The spelling of 1244161920 in words is "one billion, two hundred forty-four million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 298 320 384 447 480 596 640 745 894 960 1192 1490 1788 1920 2235 2384 2980 3576 4349 4470 4768 5960 7152 8698 8940 9536 11920 13047 14304 17396 17880 19072 21745 23840 26094 28608 34792 35760 43490 47680 52188 57216 65235 69584 71520 86980 95360 104376 130470 139168 143040 173960 208752 260940 278336 286080 347920 417504 521880 556672 648001 695840 835008 1043760 1296002 1391680 1670016 1944003 2087520 2592004 2783360 3240005 3888006 4175040 5184008 6480010 7776012 8350080 9720015 10368016 12960020 15552024 19440030 20736032 25920040 31104048 38880060 41472064 51840080 62208096 77760120 82944128 103680160 124416192 155520240 207360320 248832384 311040480 414720640 622080960 1244161920