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1930202120 = 235721189527
BaseRepresentation
bin111001100001100…
…1000110000001000
311222112000102112102
41303003020300020
512423112431440
6515310532532
765555306300
oct16303106010
94875012472
101930202120
11900604470
1245a507148
13249b79842
141444ca600
15b46c6b15
hex730c8c08

1930202120 has 96 divisors (see below), whose sum is σ = 5511343680. Its totient is φ = 601614720.

The previous prime is 1930202093. The next prime is 1930202137. The reversal of 1930202120 is 212020391.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1930202092 and 1930202101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23204 + ... + 66323.

It is an arithmetic number, because the mean of its divisors is an integer number (57409830).

Almost surely, 21930202120 is an apocalyptic number.

1930202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1930202120 is an abundant number, since it is smaller than the sum of its proper divisors (3581141560).

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

1930202120 is a wasteful number, since it uses less digits than its factorization.

1930202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89563 (or 89552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1930202120 is about 43934.0655983486. The cubic root of 1930202120 is about 1245.0905285161.

The spelling of 1930202120 in words is "one billion, nine hundred thirty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 89527 179054 358108 447635 626689 716216 895270 984797 1253378 1790540 1969594 2506756 3133445 3581080 3939188 4386823 4923985 5013512 6266890 6893579 7878376 8773646 9847970 12533780 13787158 17547292 19695940 21934115 25067560 27574316 34467895 35094584 39391880 43868230 48255053 55148632 68935790 87736460 96510106 137871580 175472920 193020212 241275265 275743160 386040424 482550530 965101060 1930202120