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2000148396 = 2231731359881
BaseRepresentation
bin111011100110111…
…1101011110101100
312011101122001210020
41313031331132230
513044014222041
6530250042140
7100364660301
oct16715753654
95141561706
102000148396
11937039104
12479a19350
1325b4c9a7c
1414d8d70a8
15ba8e1866
hex7737d7ac

2000148396 has 96 divisors (see below), whose sum is σ = 5120962560. Its totient is φ = 604876800.

The previous prime is 2000148383. The next prime is 2000148407. The reversal of 2000148396 is 6938410002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2269876 + ... + 2270756.

It is an arithmetic number, because the mean of its divisors is an integer number (53343360).

Almost surely, 22000148396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000148396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560481280).

2000148396 is an abundant number, since it is smaller than the sum of its proper divisors (3120814164).

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

2000148396 is a wasteful number, since it uses less digits than its factorization.

2000148396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2000148396 is about 44723.0186369391. The cubic root of 2000148396 is about 1259.9522103316.

Adding to 2000148396 its reverse (6938410002), we get a palindrome (8938558398).

The spelling of 2000148396 in words is "two billion, one hundred forty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 359 372 527 718 881 1054 1077 1436 1581 1762 2108 2154 2643 3162 3524 4308 5286 6103 6324 10572 11129 12206 14977 18309 22258 24412 27311 29954 33387 36618 44516 44931 54622 59908 66774 73236 81933 89862 109244 133548 163866 179724 189193 316279 327732 378386 464287 567579 632558 756772 928574 948837 1135158 1265116 1392861 1857148 1897674 2270316 2785722 3795348 5376743 5571444 9804649 10753486 16130229 19609298 21506972 29413947 32260458 39218596 58827894 64520916 117655788 166679033 333358066 500037099 666716132 1000074198 2000148396