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4107505920 = 28357152809
BaseRepresentation
bin1111010011010011…
…1001000100000000
3101121020222220211220
43310310321010000
531403010142140
61515330035040
7203534136630
oct36464710400
911536886756
104107505920
111818641aa1
12967718a80
13505c9279b
142ad73a6c0
1519090dbd0
hexf4d39100

4107505920 has 144 divisors (see below), whose sum is σ = 14992494720. Its totient is φ = 938852352.

The previous prime is 4107505891. The next prime is 4107505933. The reversal of 4107505920 is 295057014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49525 + ... + 103284.

Almost surely, 24107505920 is an apocalyptic number.

4107505920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4107505920 is an abundant number, since it is smaller than the sum of its proper divisors (10884988800).

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

4107505920 is a wasteful number, since it uses less digits than its factorization.

4107505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152840 (or 152826 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 4107505920 is about 64089.8269618510. The cubic root of 4107505920 is about 1601.4967660372.

The spelling of 4107505920 in words is "four billion, one hundred seven million, five hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 152809 305618 458427 611236 764045 916854 1069663 1222472 1528090 1833708 2139326 2292135 2444944 3056180 3208989 3667416 4278652 4584270 4889888 5348315 6112360 6417978 7334832 8557304 9168540 9779776 10696630 12224720 12835956 14669664 16044945 17114608 18337080 19559552 21393260 24449440 25671912 29339328 32089890 34229216 36674160 39119104 42786520 48898880 51343824 58678656 64179780 68458432 73348320 85573040 97797760 102687648 117357312 128359560 136916864 146696640 171146080 195595520 205375296 256719120 273833728 293393280 342292160 410750592 513438240 586786560 684584320 821501184 1026876480 1369168640 2053752960 4107505920