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2107666240 = 2657192767
BaseRepresentation
bin111110110100000…
…0110111101000000
312102212221112112121
41331220012331000
513304030304430
6545050334024
7103141603351
oct17550067500
95385845477
102107666240
119917a4929
124a9a2a314
132778733b4
1415dcc3d28
15c507da7a
hex7da06f40

2107666240 has 56 divisors (see below), whose sum is σ = 5089623552. Its totient is φ = 831183360.

The previous prime is 2107666229. The next prime is 2107666241. The reversal of 2107666240 is 426667012.

It is a junction number, because it is equal to n+sod(n) for n = 2107666196 and 2107666205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107666241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23664 + ... + 69103.

Almost surely, 22107666240 is an apocalyptic number.

2107666240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107666240 is an abundant number, since it is smaller than the sum of its proper divisors (2981957312).

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

2107666240 is an equidigital number, since it uses as much as digits as its factorization.

2107666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92855 (or 92845 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2107666240 is about 45909.3262856252. The cubic root of 2107666240 is about 1282.1355626322.

The spelling of 2107666240 in words is "two billion, one hundred seven million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 22720 92767 185534 371068 463835 742136 927670 1484272 1855340 2968544 3710680 5937088 6586457 7421360 13172914 14842720 26345828 29685440 32932285 52691656 65864570 105383312 131729140 210766624 263458280 421533248 526916560 1053833120 2107666240