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10306705024 = 277111045729
BaseRepresentation
bin10011001100101001…
…11101011010000000
3222121021212212022201
421212110331122000
5132102004030044
64422420242544
7513260355460
oct114624753200
928537785281
1010306705024
114409959040
121bb7840454
13c833c5135
146dab9dba0
15404c937d4
hex26653d680

10306705024 has 64 divisors (see below), whose sum is σ = 25599470400. Its totient is φ = 4015595520.

The previous prime is 10306704979. The next prime is 10306705037. The reversal of 10306705024 is 42050760301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10306704983 and 10306705001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513009 + ... + 532720.

It is an arithmetic number, because the mean of its divisors is an integer number (399991725).

Almost surely, 210306705024 is an apocalyptic number.

10306705024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10306705024 is an abundant number, since it is smaller than the sum of its proper divisors (15292765376).

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

10306705024 is a wasteful number, since it uses less digits than its factorization.

10306705024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045761 (or 1045749 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 10306705024 in words is "ten billion, three hundred six million, seven hundred five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 1045729 2091458 4182916 7320103 8365832 11503019 14640206 16731664 23006038 29280412 33463328 46012076 58560824 66926656 80521133 92024152 117121648 133853312 161042266 184048304 234243296 322084532 368096608 468486592 644169064 736193216 936973184 1288338128 1472386432 2576676256 5153352512 10306705024