Search a number
-
+
30480192 = 263331569
BaseRepresentation
bin111010001000…
…1011101000000
32010100112222000
41310101131000
530300331232
63005144000
7520035351
oct164213500
963315860
1030480192
1116229246
12a25b000
136412722
144095d28
152a2127c
hex1d11740

30480192 has 112 divisors (see below), whose sum is σ = 92659200. Its totient is φ = 9815040.

The previous prime is 30480139. The next prime is 30480217. The reversal of 30480192 is 29108403.

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, 53284 + ... + 53852.

Almost surely, 230480192 is an apocalyptic number.

30480192 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 30480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46329600).

30480192 is an abundant number, since it is smaller than the sum of its proper divisors (62179008).

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

30480192 is a wasteful number, since it uses less digits than its factorization.

30480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30480192 is about 5520.8868852749. The cubic root of 30480192 is about 312.3723365470.

Adding to 30480192 its reverse (29108403), we get a palindrome (59588595).

The spelling of 30480192 in words is "thirty million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 569 576 744 837 864 992 1116 1138 1488 1674 1707 1728 1984 2232 2276 2976 3348 3414 4464 4552 5121 5952 6696 6828 8928 9104 10242 13392 13656 15363 17639 17856 18208 20484 26784 27312 30726 35278 36416 40968 52917 53568 54624 61452 70556 81936 105834 109248 122904 141112 158751 163872 211668 245808 282224 317502 327744 423336 476253 491616 564448 635004 846672 952506 983232 1128896 1270008 1693344 1905012 2540016 3386688 3810024 5080032 7620048 10160064 15240096 30480192