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1930009416 = 233535925717
BaseRepresentation
bin111001100001001…
…1001101101001000
311222111122122012020
41303002121231020
512423040300131
6515302444440
765553544416
oct16302315510
94874578166
101930009416
11900492705
1245a433720
13249b0cc0a
1414447a2b6
15b4689996
hex73099b48

1930009416 has 64 divisors (see below), whose sum is σ = 4999579200. Its totient is φ = 620475648.

The previous prime is 1930009409. The next prime is 1930009451. The reversal of 1930009416 is 6149000391.

It is a super-2 number, since 2×19300094162 = 7449872691697322112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62190 + ... + 87906.

It is an arithmetic number, because the mean of its divisors is an integer number (78118425).

Almost surely, 21930009416 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 1930009416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499789600).

1930009416 is an abundant number, since it is smaller than the sum of its proper divisors (3069569784).

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

1930009416 is a wasteful number, since it uses less digits than its factorization.

1930009416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25838 (or 25834 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1930009416 is about 43931.8724390391. The cubic root of 1930009416 is about 1245.0490921111.

The spelling of 1930009416 in words is "one billion, nine hundred thirty million, nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 59 106 118 159 177 212 236 318 354 424 472 636 708 1272 1416 3127 6254 9381 12508 18762 25016 25717 37524 51434 75048 77151 102868 154302 205736 308604 617208 1363001 1517303 2726002 3034606 4089003 4551909 5452004 6069212 8178006 9103818 10904008 12138424 16356012 18207636 32712024 36415272 80417059 160834118 241251177 321668236 482502354 643336472 965004708 1930009416