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3137085 = 325723433
BaseRepresentation
bin1011111101111000111101
312220101021100
423331320331
51300341320
6151123313
735444010
oct13757075
95811240
103137085
111852a36
121073539
1385ab83
145b9377
1541e790
hex2fde3d

3137085 has 48 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 1368576.

The previous prime is 3137083. The next prime is 3137087. The reversal of 3137085 is 5807313.

It is an interprime number because it is at equal distance from previous prime (3137083) and next prime (3137087).

It is not a de Polignac number, because 3137085 - 21 = 3137083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7029 + ... + 7461.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 23137085 is an apocalyptic number.

3137085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3137085 is an abundant number, since it is smaller than the sum of its proper divisors (3362499).

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

3137085 is a wasteful number, since it uses less digits than its factorization.

3137085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3137085 is about 1771.1818088497. The cubic root of 3137085 is about 146.3891071802.

The spelling of 3137085 in words is "three million, one hundred thirty-seven thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 433 483 805 1035 1299 1449 2165 2415 3031 3897 6495 7245 9093 9959 15155 19485 27279 29877 45465 49795 69713 89631 136395 149385 209139 348565 448155 627417 1045695 3137085