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30020032 = 267113593
BaseRepresentation
bin111001010000…
…1000111000000
32002111011202001
41302201013000
530141120112
62551233344
7513110650
oct162410700
962434661
1030020032
1115a44549
12a078854
1362b1143
143db6360
15297ec57
hex1ca11c0

30020032 has 56 divisors (see below), whose sum is σ = 68799456. Its totient is φ = 12730368.

The previous prime is 30019963. The next prime is 30020041. The reversal of 30020032 is 23002003.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50328 + ... + 50920.

Almost surely, 230020032 is an apocalyptic number.

30020032 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 30020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34399728).

30020032 is an abundant number, since it is smaller than the sum of its proper divisors (38779424).

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

30020032 is a wasteful number, since it uses less digits than its factorization.

30020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 30020032 is about 5479.0539329340. The cubic root of 30020032 is about 310.7923952982.

Adding to 30020032 its reverse (23002003), we get a palindrome (53022035).

It can be divided in two parts, 3002003 and 2, that multiplied together give a palindrome (6004006).

The spelling of 30020032 in words is "thirty million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 593 791 904 1186 1582 1808 2372 3164 3616 4151 4744 6328 7232 8302 9488 12656 16604 18976 25312 33208 37952 50624 66416 67009 132832 134018 265664 268036 469063 536072 938126 1072144 1876252 2144288 3752504 4288576 7505008 15010016 30020032