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30504006 = 23313192287
BaseRepresentation
bin111010001011…
…1010001000110
32010101202122000
41310113101012
530302112011
63005450130
7520164651
oct164272106
963352560
1030504006
1116245125
12a270946
136420510
1440a0898
152a28356
hex1d17446

30504006 has 64 divisors (see below), whose sum is σ = 76876800. Its totient is φ = 8887968.

The previous prime is 30503989. The next prime is 30504013. The reversal of 30504006 is 60040503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30504006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12195 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 230504006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30504006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438400).

30504006 is an abundant number, since it is smaller than the sum of its proper divisors (46372794).

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

30504006 is a wasteful number, since it uses less digits than its factorization.

30504006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30504006 is about 5523.0431828839. The cubic root of 30504006 is about 312.4536669441.

Adding to 30504006 its reverse (60040503), we get a palindrome (90544509).

It can be divided in two parts, 3050 and 4006, that added together give a square (7056 = 842).

The spelling of 30504006 in words is "thirty million, five hundred four thousand, six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 2287 4446 4574 6669 6861 13338 13722 20583 29731 41166 43453 59462 61749 86906 89193 123498 130359 178386 260718 267579 391077 535158 564889 782154 802737 1129778 1173231 1605474 1694667 2346462 3389334 5084001 10168002 15252003 30504006