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1242940160 = 28571112611
BaseRepresentation
bin100101000010101…
…1100001100000000
310012121210220100202
41022011130030000
510021143041120
6323200304332
742541550150
oct11205341400
93177726322
101242940160
11588675380
122a83120a8
1316a67a367
14bb10a760
15741bd875
hex4a15c300

1242940160 has 144 divisors (see below), whose sum is σ = 3712165632. Its totient is φ = 387379200.

The previous prime is 1242940147. The next prime is 1242940277. The reversal of 1242940160 is 610492421.

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, 92255 + ... + 104865.

It is an arithmetic number, because the mean of its divisors is an integer number (25778928).

Almost surely, 21242940160 is an apocalyptic number.

1242940160 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 1242940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856082816).

1242940160 is an abundant number, since it is smaller than the sum of its proper divisors (2469225472).

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

1242940160 is a wasteful number, since it uses less digits than its factorization.

1242940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12650 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1242940160 is about 35255.3564724568. The cubic root of 1242940160 is about 1075.1855198116.

The spelling of 1242940160 in words is "one billion, two hundred forty-two million, nine hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2816 3080 3520 4480 4928 6160 7040 8960 9856 12320 12611 14080 19712 24640 25222 49280 50444 63055 88277 98560 100888 126110 138721 176554 201776 252220 277442 353108 403552 441385 504440 554884 693605 706216 807104 882770 971047 1008880 1109768 1387210 1412432 1614208 1765540 1942094 2017760 2219536 2774420 2824864 3228416 3531080 3884188 4035520 4439072 4855235 5548840 5649728 7062160 7768376 8071040 8878144 9710470 11097680 11299456 14124320 15536752 16142080 17756288 19420940 22195360 22598912 28248640 31073504 35512576 38841880 44390720 56497280 62147008 77683760 88781440 112994560 124294016 155367520 177562880 248588032 310735040 621470080 1242940160