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199070976 = 28313127157
BaseRepresentation
bin10111101110110…
…01010100000000
3111212120212001010
423313121110000
5401430232401
631430440520
74635034566
oct1367312400
9455525033
10199070976
11a2408a75
1256803140
13323204a0
141c61da36
1512723ed6
hexbdd9500

199070976 has 144 divisors (see below), whose sum is σ = 578729984. Its totient is φ = 60383232.

The previous prime is 199070959. The next prime is 199070981. The reversal of 199070976 is 679070991.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1267890 + ... + 1268046.

Almost surely, 2199070976 is an apocalyptic number.

199070976 is a gapful number since it is divisible by the number (16) 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 199070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289364992).

199070976 is an abundant number, since it is smaller than the sum of its proper divisors (379659008).

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

199070976 is a wasteful number, since it uses less digits than its factorization.

199070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 48.

The square root of 199070976 is about 14109.2514330137. The cubic root of 199070976 is about 583.8966477517.

The spelling of 199070976 in words is "one hundred ninety-nine million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 157 192 208 254 256 312 314 381 384 416 471 508 624 628 762 768 832 942 1016 1248 1256 1524 1651 1664 1884 2032 2041 2496 2512 3048 3302 3328 3768 4064 4082 4953 4992 5024 6096 6123 6604 7536 8128 8164 9906 9984 10048 12192 12246 13208 15072 16256 16328 19812 19939 20096 24384 24492 26416 30144 32512 32656 39624 39878 40192 48768 48984 52832 59817 60288 65312 79248 79756 97536 97968 105664 119634 120576 130624 158496 159512 195936 211328 239268 259207 261248 316992 319024 391872 422656 478536 518414 522496 633984 638048 777621 783744 957072 1036828 1267968 1276096 1555242 1567488 1914144 2073656 2552192 3110484 3828288 4147312 5104384 6220968 7656576 8294624 12441936 15313152 16589248 24883872 33178496 49767744 66356992 99535488 199070976