Search a number
-
+
30054672 = 2433292399
BaseRepresentation
bin111001010100…
…1100100010000
32002112221021000
41302221210100
530143222142
62552102000
7513313644
oct162514420
962487230
1030054672
1115a6857a
12a094900
1362c3b3b
143dc4c24
15298a14c
hex1ca9910

30054672 has 80 divisors (see below), whose sum is σ = 89280000. Its totient is φ = 9668736.

The previous prime is 30054653. The next prime is 30054683. The reversal of 30054672 is 27645003.

It is a happy number.

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

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, 11329 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 230054672 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 30054672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640000).

30054672 is an abundant number, since it is smaller than the sum of its proper divisors (59225328).

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

30054672 is a wasteful number, since it uses less digits than its factorization.

30054672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2433 counting only the distinct ones).

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

The square root of 30054672 is about 5482.2141512349. The cubic root of 30054672 is about 310.9118900669.

Adding to 30054672 its reverse (27645003), we get a palindrome (57699675).

The spelling of 30054672 in words is "thirty million, fifty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 2399 3132 4176 4798 6264 7197 9596 12528 14394 19192 21591 28788 38384 43182 57576 64773 69571 86364 115152 129546 139142 172728 208713 259092 278284 345456 417426 518184 556568 626139 834852 1036368 1113136 1252278 1669704 1878417 2504556 3339408 3756834 5009112 7513668 10018224 15027336 30054672