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3768403860 = 22325131610429
BaseRepresentation
bin1110000010011101…
…0100011110010100
3100201121220202021100
43200213110132110
530204202410420
61421533550100
7162245622114
oct34047243624
910647822240
103768403860
111664190661
12892045330
13480953a90
1427a6a9044
15170c79190
hexe09d4794

3768403860 has 72 divisors (see below), whose sum is σ = 12310126920. Its totient is φ = 927606528.

The previous prime is 3768403843. The next prime is 3768403901. The reversal of 3768403860 is 683048673.

It can be written as a sum of positive squares in 4 ways, for example, as 148937616 + 3619466244 = 12204^2 + 60162^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 802875 + ... + 807554.

It is an arithmetic number, because the mean of its divisors is an integer number (170973985).

Almost surely, 23768403860 is an apocalyptic number.

3768403860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3768403860 is an abundant number, since it is smaller than the sum of its proper divisors (8541723060).

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

3768403860 is a wasteful number, since it uses less digits than its factorization.

3768403860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610457 (or 1610452 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3768403860 is about 61387.3265422106. The cubic root of 3768403860 is about 1556.1536653002.

The spelling of 3768403860 in words is "three billion, seven hundred sixty-eight million, four hundred three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1610429 3220858 4831287 6441716 8052145 9662574 14493861 16104290 19325148 20935577 24156435 28987722 32208580 41871154 48312870 57975444 62806731 72469305 83742308 96625740 104677885 125613462 144938610 188420193 209355770 251226924 289877220 314033655 376840386 418711540 628067310 753680772 942100965 1256134620 1884201930 3768403860