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30097728 = 263252253
BaseRepresentation
bin111001011010…
…0000101000000
32002122010022200
41302310011000
530201111403
62553033200
7513553323
oct162640500
962563280
1030097728
1115a97961
12a0b5800
13630a60b
143dd67ba
152997ca3
hex1cb4140

30097728 has 42 divisors (see below), whose sum is σ = 86271354. Its totient is φ = 10032384.

The previous prime is 30097723. The next prime is 30097741. The reversal of 30097728 is 82779003.

It can be written as a sum of positive squares in only one way, i.e., 23503104 + 6594624 = 4848^2 + 2568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30097692 and 30097701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30097723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25551 + ... + 26702.

Almost surely, 230097728 is an apocalyptic number.

It is an amenable number.

30097728 is an abundant number, since it is smaller than the sum of its proper divisors (56173626).

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

30097728 is a wasteful number, since it uses less digits than its factorization.

30097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52271 (or 52258 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 30097728 is about 5486.1396263675. The cubic root of 30097728 is about 311.0602889016.

The spelling of 30097728 in words is "thirty million, ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 52253 104506 156759 209012 313518 418024 470277 627036 836048 940554 1254072 1672096 1881108 2508144 3344192 3762216 5016288 7524432 10032576 15048864 30097728