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30587872 = 257197187
BaseRepresentation
bin111010010101…
…1101111100000
32010120000200011
41310223233200
530312302442
63011334304
7520664320
oct164535740
963500604
1030587872
11162a2137
12a2b1394
13644c743
1440c3280
152a43117
hex1d2bbe0

30587872 has 48 divisors (see below), whose sum is σ = 72455040. Its totient is φ = 12417408.

The previous prime is 30587867. The next prime is 30587873. The reversal of 30587872 is 27878503.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30587873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663 + ... + 7849.

It is an arithmetic number, because the mean of its divisors is an integer number (1509480).

Almost surely, 230587872 is an apocalyptic number.

30587872 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 30587872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36227520).

30587872 is an abundant number, since it is smaller than the sum of its proper divisors (41867168).

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

30587872 is a wasteful number, since it uses less digits than its factorization.

30587872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 30587872 is about 5530.6303438216. The cubic root of 30587872 is about 312.7397524397.

The spelling of 30587872 in words is "thirty million, five hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 7187 14374 28748 50309 57496 100618 114992 136553 201236 229984 273106 402472 546212 804944 955871 1092424 1609888 1911742 2184848 3823484 4369696 7646968 15293936 30587872