Search a number
-
+
1242381888 = 26341121787
BaseRepresentation
bin100101000001101…
…0011111001000000
310012120202112120000
41022003103321000
510021022210023
6323140320000
742534033426
oct11203237100
93176675500
101242381888
115883239a0
122a80a3000
1316a513217
14bb003116
157410d243
hex4a0d3e40

1242381888 has 140 divisors (see below), whose sum is σ = 4017794352. Its totient is φ = 376462080.

The previous prime is 1242381799. The next prime is 1242381941. The reversal of 1242381888 is 8881832421.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46131 + ... + 67917.

Almost surely, 21242381888 is an apocalyptic number.

1242381888 is a gapful number since it is divisible by the number (18) 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 1242381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008897176).

1242381888 is an abundant number, since it is smaller than the sum of its proper divisors (2775412464).

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

1242381888 is a wasteful number, since it uses less digits than its factorization.

1242381888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21822 (or 21803 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 1242381888 is about 35247.4380345579. The cubic root of 1242381888 is about 1075.0245209478.

The spelling of 1242381888 in words is "one billion, two hundred forty-two million, three hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 21787 28512 43574 57024 65361 87148 130722 174296 196083 239657 261444 348592 392166 479314 522888 588249 697184 718971 784332 958628 1045776 1176498 1394368 1437942 1568664 1764747 1917256 2091552 2156913 2352996 2875884 3137328 3529494 3834512 4183104 4313826 4705992 5751768 6274656 6470739 7058988 7669024 8627652 9411984 11503536 12549312 12941478 14117976 15338048 17255304 18823968 19412217 23007072 25882956 28235952 34510608 37647936 38824434 46014144 51765912 56471904 69021216 77648868 103531824 112943808 138042432 155297736 207063648 310595472 414127296 621190944 1242381888