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30065472 = 2633127137
BaseRepresentation
bin111001010110…
…0001101000000
32002120111002000
41302230031000
530144043342
62552224000
7513360303
oct162541500
962514060
1030065472
1115a756a8
12a09b000
1362c8a28
143dc8b3a
15298d44c
hex1cac340

30065472 has 112 divisors (see below), whose sum is σ = 89733120. Its totient is φ = 9870336.

The previous prime is 30065437. The next prime is 30065507. The reversal of 30065472 is 27456003.

It is a happy number.

30065472 is a `hidden beast` number, since 3 + 0 + 0 + 654 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30065437) and next prime (30065507).

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 15 ways as a sum of consecutive naturals, for example, 219388 + ... + 219524.

Almost surely, 230065472 is an apocalyptic number.

30065472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44866560).

30065472 is an abundant number, since it is smaller than the sum of its proper divisors (59667648).

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

30065472 is a wasteful number, since it uses less digits than its factorization.

30065472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30065472 is about 5483.1990662386. The cubic root of 30065472 is about 310.9491271647.

The spelling of 30065472 in words is "thirty million, sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 137 144 192 216 254 274 288 381 411 432 508 548 576 762 822 864 1016 1096 1143 1233 1524 1644 1728 2032 2192 2286 2466 3048 3288 3429 3699 4064 4384 4572 4932 6096 6576 6858 7398 8128 8768 9144 9864 12192 13152 13716 14796 17399 18288 19728 24384 26304 27432 29592 34798 36576 39456 52197 54864 59184 69596 73152 78912 104394 109728 118368 139192 156591 208788 219456 236736 278384 313182 417576 469773 556768 626364 835152 939546 1113536 1252728 1670304 1879092 2505456 3340608 3758184 5010912 7516368 10021824 15032736 30065472