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1244241920 = 213537821
BaseRepresentation
bin100101000101001…
…1010000000000000
310012201021001001002
41022022122000000
510022011220140
6323244231132
742555611315
oct11212320000
93181231032
101244241920
11589384409
122a883b4a8
1316aa14a2c
14bb368d0c
1574379415
hex4a29a000

1244241920 has 112 divisors (see below), whose sum is σ = 3070436328. Its totient is φ = 483655680.

The previous prime is 1244241913. The next prime is 1244241941. The reversal of 1244241920 is 291424421.

It can be written as a sum of positive squares in 4 ways, for example, as 1094815744 + 149426176 = 33088^2 + 12224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515110 + ... + 1515930.

Almost surely, 21244241920 is an apocalyptic number.

1244241920 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 1244241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535218164).

1244241920 is an abundant number, since it is smaller than the sum of its proper divisors (1826194408).

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

1244241920 is an frugal number, since it uses more digits than its factorization.

1244241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1244241920 is about 35273.8135165451. The cubic root of 1244241920 is about 1075.5607444090.

The spelling of 1244241920 in words is "one billion, two hundred forty-four million, two hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 821 1024 1184 1280 1480 1642 2048 2368 2560 2960 3284 4096 4105 4736 5120 5920 6568 8192 8210 9472 10240 11840 13136 16420 18944 20480 23680 26272 30377 32840 37888 40960 47360 52544 60754 65680 75776 94720 105088 121508 131360 151552 151885 189440 210176 243016 262720 303104 303770 378880 420352 486032 525440 607540 757760 840704 972064 1050880 1215080 1515520 1681408 1944128 2101760 2430160 3362816 3888256 4203520 4860320 6725632 7776512 8407040 9720640 15553024 16814080 19441280 31106048 33628160 38882560 62212096 77765120 124424192 155530240 248848384 311060480 622120960 1244241920