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398006136 = 23341155837
BaseRepresentation
bin10111101110010…
…001011101111000
31000201220210210000
4113232101131320
51303342144021
6103254353000
712601665513
oct2756213570
91021823700
10398006136
111947339a0
12b135b760
13645c3bb8
143ac05d7a
1524e1cb26
hex17b91778

398006136 has 80 divisors (see below), whose sum is σ = 1216151640. Its totient is φ = 120605760.

The previous prime is 398006093. The next prime is 398006171. The reversal of 398006136 is 631600893.

It is a happy number.

398006136 is a `hidden beast` number, since 39 + 8 + 0 + 0 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 398006136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20791 + ... + 35046.

Almost surely, 2398006136 is an apocalyptic number.

398006136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

398006136 is an abundant number, since it is smaller than the sum of its proper divisors (818145504).

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

398006136 is a wasteful number, since it uses less digits than its factorization.

398006136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55866 (or 55853 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 398006136 is about 19950.0911276114. The cubic root of 398006136 is about 735.5800169679.

The spelling of 398006136 in words is "three hundred ninety-eight million, six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 55837 111674 167511 223348 335022 446696 502533 614207 670044 1005066 1228414 1340088 1507599 1842621 2010132 2456828 3015198 3685242 4020264 4522797 4913656 5527863 6030396 7370484 9045594 11055726 12060792 14740968 16583589 18091188 22111452 33167178 36182376 44222904 49750767 66334356 99501534 132668712 199003068 398006136