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1020011328 = 26327252979
BaseRepresentation
bin111100110011000…
…010001101000000
32122002022221111100
4330303002031000
54042110330303
6245114214400
734163644650
oct7463021500
92562287440
101020011328
11483851676
12245724400
131334257cb
149967a360
155e8358a3
hex3ccc2340

1020011328 has 84 divisors (see below), whose sum is σ = 3341359840. Its totient is φ = 291430656.

The previous prime is 1020011327. The next prime is 1020011351. The reversal of 1020011328 is 8231100201.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1020011328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020011327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122458 + ... + 130521.

Almost surely, 21020011328 is an apocalyptic number.

1020011328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1020011328 is an abundant number, since it is smaller than the sum of its proper divisors (2321348512).

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

1020011328 is a wasteful number, since it uses less digits than its factorization.

1020011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253004 (or 252991 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1020011328 is about 31937.6161915695. The cubic root of 1020011328 is about 1006.6264360241.

Adding to 1020011328 its reverse (8231100201), we get a palindrome (9251111529).

It can be divided in two parts, 10200 and 11328, that added together give a triangular number (21528 = T207).

The spelling of 1020011328 in words is "one billion, twenty million, eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 252979 505958 758937 1011916 1517874 1770853 2023832 2276811 3035748 3541706 4047664 4553622 5312559 6071496 7083412 8095328 9107244 10625118 12142992 14166824 15937677 16190656 18214488 21250236 24285984 28333648 31875354 36428976 42500472 48571968 56667296 63750708 72857952 85000944 113334592 127501416 145715904 170001888 255002832 340003776 510005664 1020011328