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1002133404 = 223331436961
BaseRepresentation
bin111011101110110…
…101011110011100
32120211200122121000
4323232311132130
54023021232104
6243235110300
733555664506
oct7356653634
92524618530
101002133404
11474750728
1223b742390
1312c80625c
1497144d76
155cea3639
hex3bbb579c

1002133404 has 96 divisors (see below), whose sum is σ = 2744698880. Its totient is φ = 315705600.

The previous prime is 1002133399. The next prime is 1002133421. The reversal of 1002133404 is 4043312001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140484 + ... + 147444.

Almost surely, 21002133404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002133404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372349440).

1002133404 is an abundant number, since it is smaller than the sum of its proper divisors (1742565476).

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

1002133404 is a wasteful number, since it uses less digits than its factorization.

1002133404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002133404 is about 31656.4907088578. The cubic root of 1002133404 is about 1000.7106295527.

Adding to 1002133404 its reverse (4043312001), we get a palindrome (5045445405).

The spelling of 1002133404 in words is "one billion, two million, one hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 86 93 108 124 129 172 186 258 279 372 387 516 558 774 837 1116 1161 1333 1548 1674 2322 2666 3348 3999 4644 5332 6961 7998 11997 13922 15996 20883 23994 27844 35991 41766 47988 62649 71982 83532 125298 143964 187947 215791 250596 299323 375894 431582 598646 647373 751788 863164 897969 1197292 1294746 1795938 1942119 2589492 2693907 3591876 3884238 5387814 5826357 7768476 8081721 9279013 10775628 11652714 16163442 18558026 23305428 27837039 32326884 37116052 55674078 83511117 111348156 167022234 250533351 334044468 501066702 1002133404