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30661632 = 210331109
BaseRepresentation
bin111010011110…
…1110000000000
32010200202212000
41310331300000
530322133012
63013104000
7521422341
oct164756000
963622760
1030661632
11163425a1
12a328000
1364771a1
1441020c8
152a59ddc
hex1d3dc00

30661632 has 88 divisors (see below), whose sum is σ = 90886800. Its totient is φ = 10211328.

The previous prime is 30661627. The next prime is 30661633. The reversal of 30661632 is 23616603.

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

It is a junction number, because it is equal to n+sod(n) for n = 30661596 and 30661605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30661633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27094 + ... + 28202.

Almost surely, 230661632 is an apocalyptic number.

30661632 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 30661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45443400).

30661632 is an abundant number, since it is smaller than the sum of its proper divisors (60225168).

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

30661632 is a wasteful number, since it uses less digits than its factorization.

30661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30661632 is about 5537.2946463052. The cubic root of 30661632 is about 312.9909322432.

The spelling of 30661632 in words is "thirty million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1109 1152 1536 1728 2218 2304 3072 3327 3456 4436 4608 6654 6912 8872 9216 9981 13308 13824 17744 19962 26616 27648 29943 35488 39924 53232 59886 70976 79848 106464 119772 141952 159696 212928 239544 283904 319392 425856 479088 567808 638784 851712 958176 1135616 1277568 1703424 1916352 2555136 3406848 3832704 5110272 7665408 10220544 15330816 30661632