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1004133420 = 2232543129733
BaseRepresentation
bin111011110110011…
…101110000101100
32120222110021002200
4323312131300230
54024024232140
6243350021500
733611664453
oct7366356054
92528407080
101004133420
11475897334
12240347890
131300566b4
1497505b9a
155d24b030
hex3bd9dc2c

1004133420 has 72 divisors (see below), whose sum is σ = 3116729616. Its totient is φ = 261539712.

The previous prime is 1004133409. The next prime is 1004133437. The reversal of 1004133420 is 243314001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1004133393 and 1004133402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57127 + ... + 72606.

Almost surely, 21004133420 is an apocalyptic number.

1004133420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004133420 is an abundant number, since it is smaller than the sum of its proper divisors (2112596196).

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

1004133420 is a wasteful number, since it uses less digits than its factorization.

1004133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129791 (or 129786 counting only the distinct ones).

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

The square root of 1004133420 is about 31688.0643145018. The cubic root of 1004133420 is about 1001.3759126627.

Adding to 1004133420 its reverse (243314001), we get a palindrome (1247447421).

The spelling of 1004133420 in words is "one billion, four million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 129733 259466 389199 518932 648665 778398 1167597 1297330 1556796 1945995 2335194 2594660 3891990 4670388 5578519 5837985 7783980 11157038 11675970 16735557 22314076 23351940 27892595 33471114 50206671 55785190 66942228 83677785 100413342 111570380 167355570 200826684 251033355 334711140 502066710 1004133420