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30545840 = 24513231277
BaseRepresentation
bin111010010000…
…1011110110000
32010110220000102
41310201132300
530304431330
63010411532
7520430633
oct164413660
963426012
1030545840
11162735a6
12a290ba8
136436580
1440b1c1a
152a35945
hex1d217b0

30545840 has 80 divisors (see below), whose sum is σ = 79869888. Its totient is φ = 10779648.

The previous prime is 30545839. The next prime is 30545843. The reversal of 30545840 is 4854503.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30545843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23282 + ... + 24558.

Almost surely, 230545840 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 30545840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39934944).

30545840 is an abundant number, since it is smaller than the sum of its proper divisors (49324048).

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

30545840 is a wasteful number, since it uses less digits than its factorization.

30545840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 30545840 is about 5526.8291089919. The cubic root of 30545840 is about 312.5964374364.

The spelling of 30545840 in words is "thirty million, five hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1277 1495 1840 2392 2554 2990 4784 5108 5980 6385 10216 11960 12770 16601 20432 23920 25540 29371 33202 51080 58742 66404 83005 102160 117484 132808 146855 166010 234968 265616 293710 332020 381823 469936 587420 664040 763646 1174840 1328080 1527292 1909115 2349680 3054584 3818230 6109168 7636460 15272920 30545840