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1242322140 = 2235411034903
BaseRepresentation
bin100101000001100…
…0101010011011100
310012120122111121010
41022003011103130
510021013302030
6323135135220
742533364303
oct11203052334
93176574533
101242322140
11588293014
122a8074510
1316a4c1c77
14badc943a
15740ea6b0
hex4a0c54dc

1242322140 has 96 divisors (see below), whose sum is σ = 3598672896. Its totient is φ = 320002560.

The previous prime is 1242322139. The next prime is 1242322153. The reversal of 1242322140 is 412232421.

It is a congruent number.

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, 250929 + ... + 255831.

It is an arithmetic number, because the mean of its divisors is an integer number (37486176).

Almost surely, 21242322140 is an apocalyptic number.

1242322140 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 1242322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799336448).

1242322140 is an abundant number, since it is smaller than the sum of its proper divisors (2356350756).

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

1242322140 is a wasteful number, since it uses less digits than its factorization.

1242322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1242322140 is about 35246.5904734061. The cubic root of 1242322140 is about 1075.0072874934.

Adding to 1242322140 its reverse (412232421), we get a palindrome (1654554561).

The spelling of 1242322140 in words is "one billion, two hundred forty-two million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 103 123 164 205 206 246 309 410 412 492 515 615 618 820 1030 1230 1236 1545 2060 2460 3090 4223 4903 6180 8446 9806 12669 14709 16892 19612 21115 24515 25338 29418 42230 49030 50676 58836 63345 73545 84460 98060 126690 147090 201023 253380 294180 402046 505009 603069 804092 1005115 1010018 1206138 1515027 2010230 2020036 2412276 2525045 3015345 3030054 4020460 5050090 6030690 6060108 7575135 10100180 12061380 15150270 20705369 30300540 41410738 62116107 82821476 103526845 124232214 207053690 248464428 310580535 414107380 621161070 1242322140