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30557680 = 245537207
BaseRepresentation
bin111010010010…
…0010111110000
32010111111020221
41310210113300
530310321210
63010542424
7520510306
oct164442760
963444227
1030557680
111628148a
12a297a14
13643ba8a
1440b6276
152a391da
hex1d245f0

30557680 has 40 divisors (see below), whose sum is σ = 72397152. Its totient is φ = 11990784.

The previous prime is 30557663. The next prime is 30557701. The reversal of 30557680 is 8675503.

It is a happy number.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 7843.

Almost surely, 230557680 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 30557680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36198576).

30557680 is an abundant number, since it is smaller than the sum of its proper divisors (41839472).

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

30557680 is a wasteful number, since it uses less digits than its factorization.

30557680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 30557680 is about 5527.9001438159. The cubic root of 30557680 is about 312.6368211538.

The spelling of 30557680 in words is "thirty million, five hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 7207 14414 28828 36035 57656 72070 115312 144140 288280 381971 576560 763942 1527884 1909855 3055768 3819710 6111536 7639420 15278840 30557680