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7390090125 = 32531122332
BaseRepresentation
bin1101110000111101…
…11101001110001101
3201002000202110211200
412320132331032031
5110113330341000
63221151140113
7351063505155
oct67036751615
921060673750
107390090125
113152571100
121522b14639
1390a0879c2
145016a1765
152d3bc1500
hex1b87bd38d

7390090125 has 108 divisors (see below), whose sum is σ = 14706161652. Its totient is φ = 3567696000.

The previous prime is 7390090063. The next prime is 7390090163. The reversal of 7390090125 is 5210900937.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 4702393476 + 2687696649 = 68574^2 + 51843^2 .

It is not a de Polignac number, because 7390090125 - 212 = 7390086029 is a prime.

It is a super-2 number, since 2×73900901252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7390090125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31717009 + ... + 31717241.

Almost surely, 27390090125 is an apocalyptic number.

7390090125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7390090125 is a deficient number, since it is larger than the sum of its proper divisors (7316071527).

7390090125 is a wasteful number, since it uses less digits than its factorization.

7390090125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 7390090125 is about 85965.6333949794. The cubic root of 7390090125 is about 1947.8248922544.

It can be divided in two parts, 73900 and 90125, that added together give a square (164025 = 4052).

The spelling of 7390090125 in words is "seven billion, three hundred ninety million, ninety thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 165 225 233 275 363 375 495 605 699 825 1089 1125 1165 1375 1815 2097 2475 2563 3025 3495 4125 5445 5825 7689 9075 10485 12375 12815 15125 17475 23067 27225 28193 29125 38445 45375 52425 54289 64075 84579 87375 115335 136125 140965 162867 192225 253737 262125 271445 320375 422895 488601 576675 597179 704825 814335 961125 1268685 1357225 1791537 2114475 2443005 2883375 2985895 3524125 4071675 5374611 6343425 6568969 6786125 8957685 10572375 12215025 14929475 19706907 20358375 26873055 31717125 32844845 44788425 59120721 61075125 74647375 98534535 134365275 164224225 223942125 295603605 492672675 671826375 821121125 1478018025 2463363375 7390090125