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2107660140 = 2232511709223
BaseRepresentation
bin111110110100000…
…0101011101101100
312102212221020011200
41331220011131230
513304030111030
6545050245500
7103141546515
oct17550053554
95385836150
102107660140
119917a0293
124a9a26890
132778706a1
1415dcc1a0c
15c507bd60
hex7da0576c

2107660140 has 36 divisors (see below), whose sum is σ = 6393236304. Its totient is φ = 562042656.

The previous prime is 2107660133. The next prime is 2107660141. The reversal of 2107660140 is 410667012.

2107660140 is a `hidden beast` number, since 2 + 10 + 7 + 6 + 601 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2107660141) 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 11 ways as a sum of consecutive naturals, for example, 5854432 + ... + 5854791.

Almost surely, 22107660140 is an apocalyptic number.

2107660140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107660140 is an abundant number, since it is smaller than the sum of its proper divisors (4285576164).

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

2107660140 is a wasteful number, since it uses less digits than its factorization.

2107660140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11709238 (or 11709233 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2107660140 is about 45909.2598502742. The cubic root of 2107660140 is about 1282.1343257137.

The spelling of 2107660140 in words is "two billion, one hundred seven million, six hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11709223 23418446 35127669 46836892 58546115 70255338 105383007 117092230 140510676 175638345 210766014 234184460 351276690 421532028 526915035 702553380 1053830070 2107660140