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30896320 = 2657131061
BaseRepresentation
bin111010111011…
…1000011000000
32011010200210011
41311313003000
530402140240
63022114304
7523420510
oct165670300
964120704
1030896320
1116492954
12a41b994
136529c60
144163840
152aa46ea
hex1d770c0

30896320 has 112 divisors (see below), whose sum is σ = 90635328. Its totient is φ = 9768960.

The previous prime is 30896311. The next prime is 30896321. The reversal of 30896320 is 2369803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (30896321) 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, 28590 + ... + 29650.

It is an arithmetic number, because the mean of its divisors is an integer number (809244).

Almost surely, 230896320 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 30896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45317664).

30896320 is an abundant number, since it is smaller than the sum of its proper divisors (59739008).

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

30896320 is a wasteful number, since it uses less digits than its factorization.

30896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 30896320 is about 5558.4458259481. The cubic root of 30896320 is about 313.7874608054.

It can be divided in two parts, 3089 and 6320, that added together give a square (9409 = 972).

The spelling of 30896320 in words is "thirty million, eight hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1061 1120 1456 1820 2080 2122 2240 2912 3640 4160 4244 5305 5824 7280 7427 8488 10610 13793 14560 14854 16976 21220 27586 29120 29708 33952 37135 42440 55172 59416 67904 68965 74270 84880 96551 110344 118832 137930 148540 169760 193102 220688 237664 275860 297080 339520 386204 441376 475328 482755 551720 594160 772408 882752 965510 1103440 1188320 1544816 1931020 2206880 2376640 3089632 3862040 4413760 6179264 7724080 15448160 30896320