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2090185540 = 2253115972111
BaseRepresentation
bin111110010010101…
…1011001101000100
312101200001102112021
41330211123031010
513240041414130
6543223532524
7102540166252
oct17445331504
95350042467
102090185540
11982945373
124a3bba144
132740628a1
1415b8535d2
15c377937a
hex7c95b344

2090185540 has 48 divisors (see below), whose sum is σ = 4535967744. Its totient is φ = 808214400.

The previous prime is 2090185519. The next prime is 2090185549. The reversal of 2090185540 is 455810902.

It is a junction number, because it is equal to n+sod(n) for n = 2090185496 and 2090185505.

It is not an unprimeable number, because it can be changed into a prime (2090185549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989085 + ... + 991195.

It is an arithmetic number, because the mean of its divisors is an integer number (94499328).

Almost surely, 22090185540 is an apocalyptic number.

2090185540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090185540 is an abundant number, since it is smaller than the sum of its proper divisors (2445782204).

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

2090185540 is a wasteful number, since it uses less digits than its factorization.

2090185540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 2090185540 is about 45718.5470022834. The cubic root of 2090185540 is about 1278.5810977881.

The spelling of 2090185540 in words is "two billion, ninety million, one hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1597 2111 3194 4222 6388 7985 8444 10555 15970 21110 31940 42220 49507 65441 99014 130882 198028 247535 261764 327205 495070 654410 990140 1308820 3371267 6742534 13485068 16856335 33712670 67425340 104509277 209018554 418037108 522546385 1045092770 2090185540