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1030405632 = 2931739461
BaseRepresentation
bin111101011010101…
…011111000000000
32122210220000210120
4331122223320000
54102240440012
6250125100240
734351206024
oct7532537000
92583800716
101030405632
11489701003
122490b7680
13135624999
149abc4384
15606da58c
hex3d6abe00

1030405632 has 80 divisors (see below), whose sum is σ = 2906613072. Its totient is φ = 323256320.

The previous prime is 1030405609. The next prime is 1030405639. The reversal of 1030405632 is 2365040301.

It is a happy number.

1030405632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030405639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6382 + ... + 45842.

Almost surely, 21030405632 is an apocalyptic number.

1030405632 is a gapful number since it is divisible by the number (12) 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 1030405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453306536).

1030405632 is an abundant number, since it is smaller than the sum of its proper divisors (1876207440).

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

1030405632 is an equidigital number, since it uses as much as digits as its factorization.

1030405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39499 (or 39483 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1030405632 is about 32099.9319625447. The cubic root of 1030405632 is about 1010.0341889548.

Adding to 1030405632 its reverse (2365040301), we get a palindrome (3395445933).

The spelling of 1030405632 in words is "one billion, thirty million, four hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8704 13056 26112 39461 78922 118383 157844 236766 315688 473532 631376 670837 947064 1262752 1341674 1894128 2012511 2525504 2683348 3788256 4025022 5051008 5366696 7576512 8050044 10102016 10733392 15153024 16100088 20204032 21466784 30306048 32200176 42933568 60612096 64400352 85867136 128800704 171734272 257601408 343468544 515202816 1030405632