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1000400232 = 2331321571571
BaseRepresentation
bin111011101000001…
…110010101101000
32120201102121010110
4323220032111220
54022100301412
6243134014320
733535155516
oct7350162550
92521377113
101000400232
11473777557
1223b0473a0
1312c34a400
1496c134b6
155cc5ed3c
hex3ba0e568

1000400232 has 96 divisors (see below), whose sum is σ = 2727168480. Its totient is φ = 305660160.

The previous prime is 1000400227. The next prime is 1000400237. The reversal of 1000400232 is 2320040001.

1000400232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000400227) and next prime (1000400237).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000400237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636007 + ... + 637577.

It is an arithmetic number, because the mean of its divisors is an integer number (28408005).

Almost surely, 21000400232 is an apocalyptic number.

1000400232 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 1000400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363584240).

1000400232 is an abundant number, since it is smaller than the sum of its proper divisors (1726768248).

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

1000400232 is a wasteful number, since it uses less digits than its factorization.

1000400232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000400232 is about 31629.1041921835. The cubic root of 1000400232 is about 1000.1333928722.

Adding to 1000400232 its reverse (2320040001), we get a palindrome (3320440233).

The spelling of 1000400232 in words is "one billion, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 169 312 314 338 471 507 628 676 942 1014 1256 1352 1571 1884 2028 2041 3142 3768 4056 4082 4713 6123 6284 8164 9426 12246 12568 16328 18852 20423 24492 26533 37704 40846 48984 53066 61269 79599 81692 106132 122538 159198 163384 212264 245076 246647 265499 318396 490152 493294 530998 636792 739941 796497 986588 1061996 1479882 1592994 1973176 2123992 2959764 3185988 3206411 5919528 6371976 6412822 9619233 12825644 19238466 25651288 38476932 41683343 76953864 83366686 125050029 166733372 250100058 333466744 500200116 1000400232