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1242076140 = 223354156101
BaseRepresentation
bin100101000001000…
…1001001111101100
310012120012000011000
41022002021033230
510020432414030
6323130000300
742531321144
oct11202111754
93176160130
101242076140
11588135208
122a7b76090
1316a436cc6
14bad63924
157409c860
hex4a0893ec

1242076140 has 96 divisors (see below), whose sum is σ = 3958557120. Its totient is φ = 323136000.

The previous prime is 1242076139. The next prime is 1242076183. The reversal of 1242076140 is 416702421.

1242076140 is a `hidden beast` number, since 1 + 2 + 42 + 0 + 7 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5911 + ... + 50190.

It is an arithmetic number, because the mean of its divisors is an integer number (41234970).

Almost surely, 21242076140 is an apocalyptic number.

1242076140 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 1242076140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979278560).

1242076140 is an abundant number, since it is smaller than the sum of its proper divisors (2716480980).

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

1242076140 is a wasteful number, since it uses less digits than its factorization.

1242076140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56160 (or 56152 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1242076140 is about 35243.1006013943. The cubic root of 1242076140 is about 1074.9363264972.

Adding to 1242076140 its reverse (416702421), we get a palindrome (1658778561).

The spelling of 1242076140 in words is "one billion, two hundred forty-two million, seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 56101 112202 168303 224404 280505 336606 504909 561010 673212 841515 1009818 1122020 1514727 1683030 2019636 2300141 2524545 3029454 3366060 4600282 5049090 6058908 6900423 7573635 9200564 10098180 11500705 13800846 15147270 20701269 23001410 27601692 30294540 34502115 41402538 46002820 62103807 69004230 82805076 103506345 124207614 138008460 207012690 248415228 310519035 414025380 621038070 1242076140