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30540504 = 2332361907
BaseRepresentation
bin111010010000…
…0001011011000
32010110121200210
41310200023120
530304244004
63010331120
7520406241
oct164401330
963417623
1030540504
111626a595
12a289aa0
136434007
1440adcc8
152a34089
hex1d202d8

30540504 has 64 divisors (see below), whose sum is σ = 81066240. Its totient is φ = 9567360.

The previous prime is 30540493. The next prime is 30540529. The reversal of 30540504 is 40504503.

30540504 = T19 + T20 + ... + T567.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33219 + ... + 34125.

It is an arithmetic number, because the mean of its divisors is an integer number (1266660).

Almost surely, 230540504 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 30540504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40533120).

30540504 is an abundant number, since it is smaller than the sum of its proper divisors (50525736).

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

30540504 is a wasteful number, since it uses less digits than its factorization.

30540504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 30540504 is about 5526.3463517952. The cubic root of 30540504 is about 312.5782340659.

The spelling of 30540504 in words is "thirty million, five hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 366 488 552 732 907 1403 1464 1814 2721 2806 3628 4209 5442 5612 7256 8418 10884 11224 16836 20861 21768 33672 41722 55327 62583 83444 110654 125166 165981 166888 221308 250332 331962 442616 500664 663924 1272521 1327848 2545042 3817563 5090084 7635126 10180168 15270252 30540504