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30069144 = 233472947
BaseRepresentation
bin111001010110…
…1000110011000
32002120200010000
41302231012120
530144203034
62552253000
7513404100
oct162550630
962520100
1030069144
1115a78436
12a0a1160
1362ca5c1
143dca200
15298e599
hex1cad198

30069144 has 120 divisors (see below), whose sum is σ = 98075340. Its totient is φ = 8582112.

The previous prime is 30069121. The next prime is 30069167. The reversal of 30069144 is 44196003.

It is an interprime number because it is at equal distance from previous prime (30069121) and next prime (30069167).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31279 + ... + 32225.

Almost surely, 230069144 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 30069144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49037670).

30069144 is an abundant number, since it is smaller than the sum of its proper divisors (68006196).

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

30069144 is a wasteful number, since it uses less digits than its factorization.

30069144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30069144 is about 5483.5338970412. The cubic root of 30069144 is about 310.9617857465.

The spelling of 30069144 in words is "thirty million, sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 947 1134 1176 1323 1512 1764 1894 2268 2646 2841 3528 3788 3969 4536 5292 5682 6629 7576 7938 8523 10584 11364 13258 15876 17046 19887 22728 25569 26516 31752 34092 39774 46403 51138 53032 59661 68184 76707 79548 92806 102276 119322 139209 153414 159096 178983 185612 204552 238644 278418 306828 357966 371224 417627 477288 536949 556836 613656 715932 835254 1073898 1113672 1252881 1431864 1670508 2147796 2505762 3341016 3758643 4295592 5011524 7517286 10023048 15034572 30069144