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30720256 = 28723179
BaseRepresentation
bin111010100110…
…0000100000000
32010210202021021
41311030010000
530331022011
63014235224
7522055300
oct165140400
963722237
1030720256
1116382646
12a355b14
136497a88
144119600
152a6c471
hex1d4c100

30720256 has 108 divisors (see below), whose sum is σ = 74565120. Its totient is φ = 12579840.

The previous prime is 30720247. The next prime is 30720259. The reversal of 30720256 is 65202703.

It is a self number, because there is not a number n which added to its sum of digits gives 30720256.

It is not an unprimeable number, because it can be changed into a prime (30720259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388825 + ... + 388903.

Almost surely, 230720256 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 30720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37282560).

30720256 is an abundant number, since it is smaller than the sum of its proper divisors (43844864).

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

30720256 is an equidigital number, since it uses as much as digits as its factorization.

30720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 30720256 is about 5542.5856781831. The cubic root of 30720256 is about 313.1902812617.

Adding to 30720256 its reverse (65202703), we get a palindrome (95922959).

It can be divided in two parts, 30720 and 256, that added together give a square (30976 = 1762).

The spelling of 30720256 in words is "thirty million, seven hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 79 98 112 124 128 158 196 217 224 248 256 316 392 434 448 496 553 632 784 868 896 992 1106 1264 1519 1568 1736 1792 1984 2212 2449 2528 3038 3136 3472 3871 3968 4424 4898 5056 6076 6272 6944 7742 7936 8848 9796 10112 12152 12544 13888 15484 17143 17696 19592 20224 24304 27776 30968 34286 35392 39184 48608 55552 61936 68572 70784 78368 97216 120001 123872 137144 141568 156736 194432 240002 247744 274288 313472 388864 480004 495488 548576 626944 960008 990976 1097152 1920016 2194304 3840032 4388608 7680064 15360128 30720256