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1242381006 = 232194577949
BaseRepresentation
bin100101000001101…
…0011101011001110
310012120202111100100
41022003103223032
510021022143011
6323140311530
742534031026
oct11203235316
93176674310
101242381006
11588323269
122a80a25a6
1316a5129b9
14bb002a86
157410cd56
hex4a0d3ace

1242381006 has 48 divisors (see below), whose sum is σ = 2840058000. Its totient is φ = 391423104.

The previous prime is 1242380981. The next prime is 1242381031. The reversal of 1242381006 is 6001832421.

It is an interprime number because it is at equal distance from previous prime (1242380981) and next prime (1242381031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152320 + ... + 160268.

It is an arithmetic number, because the mean of its divisors is an integer number (59167875).

Almost surely, 21242381006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242381006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420029000).

1242381006 is an abundant number, since it is smaller than the sum of its proper divisors (1597676994).

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

1242381006 is a wasteful number, since it uses less digits than its factorization.

1242381006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1242381006 is about 35247.4255230081. The cubic root of 1242381006 is about 1075.0242665515.

The spelling of 1242381006 in words is "one billion, two hundred forty-two million, three hundred eighty-one thousand, six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 457 914 1371 2742 4113 7949 8226 8683 15898 17366 23847 26049 47694 52098 71541 78147 143082 151031 156294 302062 453093 906186 1359279 2718558 3632693 7265386 10898079 21796158 32694237 65388474 69021167 138042334 207063501 414127002 621190503 1242381006