Search a number
-
+
30851712 = 273379113
BaseRepresentation
bin111010110110…
…0001010000000
32011001102121000
41311230022000
530344223322
63021132000
7523143453
oct165541200
964042530
1030851712
1116462391
12a3ba000
136512868
14415149a
152a963ac
hex1d6c280

30851712 has 128 divisors (see below), whose sum is σ = 93024000. Its totient is φ = 10063872.

The previous prime is 30851707. The next prime is 30851713. The reversal of 30851712 is 21715803.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30851713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272968 + ... + 273080.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 230851712 is an apocalyptic number.

30851712 is a gapful number since it is divisible by the number (32) 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 30851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512000).

30851712 is an abundant number, since it is smaller than the sum of its proper divisors (62172288).

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

30851712 is a wasteful number, since it uses less digits than its factorization.

30851712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 30851712 is about 5554.4317441121. The cubic root of 30851712 is about 313.6363729850.

The spelling of 30851712 in words is "thirty million, eight hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 113 128 144 158 192 216 226 237 288 316 339 384 432 452 474 576 632 678 711 864 904 948 1017 1152 1264 1356 1422 1728 1808 1896 2034 2133 2528 2712 2844 3051 3456 3616 3792 4068 4266 5056 5424 5688 6102 7232 7584 8136 8532 8927 10112 10848 11376 12204 14464 15168 16272 17064 17854 21696 22752 24408 26781 30336 32544 34128 35708 43392 45504 48816 53562 65088 68256 71416 80343 91008 97632 107124 130176 136512 142832 160686 195264 214248 241029 273024 285664 321372 390528 428496 482058 571328 642744 856992 964116 1142656 1285488 1713984 1928232 2570976 3427968 3856464 5141952 7712928 10283904 15425856 30851712