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30094064 = 24711131879
BaseRepresentation
bin111001011001…
…1001011110000
32002121221021222
41302303023300
530201002224
62553004212
7513536540
oct162631360
962557258
1030094064
1115a95130
12a0b3668
136308a50
143dd5320
152996b5e
hex1cb32f0

30094064 has 80 divisors (see below), whose sum is σ = 78328320. Its totient is φ = 10817280.

The previous prime is 30094049. The next prime is 30094069. The reversal of 30094064 is 46049003.

30094064 = T139 + T140 + ... + T567.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30094069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15077 + ... + 16955.

It is an arithmetic number, because the mean of its divisors is an integer number (979104).

Almost surely, 230094064 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 30094064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39164160).

30094064 is an abundant number, since it is smaller than the sum of its proper divisors (48234256).

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

30094064 is a wasteful number, since it uses less digits than its factorization.

30094064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 30094064 is about 5485.8056837624. The cubic root of 30094064 is about 311.0476658984.

The spelling of 30094064 in words is "thirty million, ninety-four thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 1879 2002 2288 3758 4004 7516 8008 13153 15032 16016 20669 24427 26306 30064 41338 48854 52612 82676 97708 105224 144683 165352 170989 195416 210448 268697 289366 330704 341978 390832 537394 578732 683956 1074788 1157464 1367912 1880879 2149576 2314928 2735824 3761758 4299152 7523516 15047032 30094064