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399108096 = 2113259367
BaseRepresentation
bin10111110010011…
…110100000000000
31000210222210101100
4113302132200000
51304132424341
6103334134400
712614235312
oct2762364000
91023883340
10399108096
11195316902
12b17b1400
13648bb64a
143b0117b2
15250893b6
hex17c9e800

399108096 has 144 divisors (see below), whose sum is σ = 1175428800. Its totient is φ = 130424832.

The previous prime is 399108049. The next prime is 399108103. The reversal of 399108096 is 690801993.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087305 + ... + 1087671.

It is an arithmetic number, because the mean of its divisors is an integer number (8162700).

Almost surely, 2399108096 is an apocalyptic number.

399108096 is a gapful number since it is divisible by the number (36) 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 399108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587714400).

399108096 is an abundant number, since it is smaller than the sum of its proper divisors (776320704).

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

399108096 is a wasteful number, since it uses less digits than its factorization.

399108096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 399108096 is about 19977.6899565490. The cubic root of 399108096 is about 736.2582584542.

The spelling of 399108096 in words is "three hundred ninety-nine million, one hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 367 384 472 512 531 576 708 734 768 944 1024 1062 1101 1152 1416 1468 1536 1888 2048 2124 2202 2304 2832 2936 3072 3303 3776 4248 4404 4608 5664 5872 6144 6606 7552 8496 8808 9216 11328 11744 13212 15104 16992 17616 18432 21653 22656 23488 26424 30208 33984 35232 43306 45312 46976 52848 60416 64959 67968 70464 86612 90624 93952 105696 120832 129918 135936 140928 173224 181248 187904 194877 211392 259836 271872 281856 346448 362496 375808 389754 422784 519672 543744 563712 692896 751616 779508 845568 1039344 1087488 1127424 1385792 1559016 1691136 2078688 2254848 2771584 3118032 3382272 4157376 5543168 6236064 6764544 8314752 11086336 12472128 16629504 22172672 24944256 33259008 44345344 49888512 66518016 99777024 133036032 199554048 399108096