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2106498720 = 25354388539
BaseRepresentation
bin111110110001110…
…1001111010100000
312102210202020000010
41331203221322200
513303230424340
6545005324520
7103125641454
oct17543517240
95383666003
102106498720
11991077737
124a9566740
13277554b61
1415da9c664
15c4decb80
hex7d8e9ea0

2106498720 has 48 divisors (see below), whose sum is σ = 6635472480. Its totient is φ = 561732864.

The previous prime is 2106498703. The next prime is 2106498721. The reversal of 2106498720 is 278946012.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2106498721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2193790 + ... + 2194749.

It is an arithmetic number, because the mean of its divisors is an integer number (138239010).

Almost surely, 22106498720 is an apocalyptic number.

2106498720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106498720 is an abundant number, since it is smaller than the sum of its proper divisors (4528973760).

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

2106498720 is a wasteful number, since it uses less digits than its factorization.

2106498720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388557 (or 4388549 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2106498720 is about 45896.6090250685. The cubic root of 2106498720 is about 1281.8987769765.

The spelling of 2106498720 in words is "two billion, one hundred six million, four hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4388539 8777078 13165617 17554156 21942695 26331234 35108312 43885390 52662468 65828085 70216624 87770780 105324936 131656170 140433248 175541560 210649872 263312340 351083120 421299744 526624680 702166240 1053249360 2106498720