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30423760 = 245894273
BaseRepresentation
bin111010000001…
…1101011010000
32010020200112221
41310003223100
530242030020
63004030424
7516412003
oct164035320
963220487
1030423760
111619a904
12a232414
1363c2b33
14407d53a
152a0e6aa
hex1d03ad0

30423760 has 40 divisors (see below), whose sum is σ = 71546760. Its totient is φ = 12029952.

The previous prime is 30423737. The next prime is 30423773. The reversal of 30423760 is 6732403.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 30382144 = 204^2 + 5512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4984 + ... + 9256.

It is an arithmetic number, because the mean of its divisors is an integer number (1788669).

Almost surely, 230423760 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 30423760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773380).

30423760 is an abundant number, since it is smaller than the sum of its proper divisors (41123000).

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

30423760 is a wasteful number, since it uses less digits than its factorization.

30423760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 30423760 is about 5515.7737444533. The cubic root of 30423760 is about 312.1794387487.

The spelling of 30423760 in words is "thirty million, four hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 4273 7120 8546 17092 21365 34184 42730 68368 85460 170920 341840 380297 760594 1521188 1901485 3042376 3802970 6084752 7605940 15211880 30423760