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1242938080 = 255103199379
BaseRepresentation
bin100101000010101…
…1011101011100000
310012121210210111201
41022011123223200
510021143004310
6323200250544
742541541116
oct11205335340
93177723451
101242938080
1158867385a
122a8310a54
1316a679427
14bb109ab6
15741bce3a
hex4a15bae0

1242938080 has 96 divisors (see below), whose sum is σ = 2987712000. Its totient is φ = 488581632.

The previous prime is 1242938069. The next prime is 1242938107. The reversal of 1242938080 is 808392421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3279331 + ... + 3279709.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 21242938080 is an apocalyptic number.

1242938080 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 1242938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856000).

1242938080 is an abundant number, since it is smaller than the sum of its proper divisors (1744773920).

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

1242938080 is a wasteful number, since it uses less digits than its factorization.

1242938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1242938080 is about 35255.3269733809. The cubic root of 1242938080 is about 1075.1849200544.

The spelling of 1242938080 in words is "one billion, two hundred forty-two million, nine hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 199 206 379 398 412 515 758 796 824 995 1030 1516 1592 1648 1895 1990 2060 3032 3184 3296 3790 3980 4120 6064 6368 7580 7960 8240 12128 15160 15920 16480 20497 30320 31840 39037 40994 60640 75421 78074 81988 102485 150842 156148 163976 195185 204970 301684 312296 327952 377105 390370 409940 603368 624592 655904 754210 780740 819880 1206736 1249184 1508420 1561480 1639760 2413472 3016840 3122960 3279520 6033680 6245920 7768363 12067360 15536726 31073452 38841815 62146904 77683630 124293808 155367260 248587616 310734520 621469040 1242938080