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2139827700 = 2235231230089
BaseRepresentation
bin111111110001011…
…0010110111110100
312112010110111202210
41333202302313310
513340243441300
6552155533420
7104012143503
oct17742626764
95463414683
102139827700
119a897124a
124b875a270
1328142414a
1416429683a
15c7cd3050
hex7f8b2df4

2139827700 has 72 divisors (see below), whose sum is σ = 6390979840. Its totient is φ = 552211200.

The previous prime is 2139827693. The next prime is 2139827707. The reversal of 2139827700 is 77289312.

It is an interprime number because it is at equal distance from previous prime (2139827693) and next prime (2139827707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139827707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105745 + ... + 124344.

Almost surely, 22139827700 is an apocalyptic number.

2139827700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2139827700 is an abundant number, since it is smaller than the sum of its proper divisors (4251152140).

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

2139827700 is a wasteful number, since it uses less digits than its factorization.

2139827700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230137 (or 230130 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2139827700 is about 46258.2716927470. The cubic root of 2139827700 is about 1288.6241565825.

The spelling of 2139827700 in words is "two billion, one hundred thirty-nine million, eight hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 230089 460178 690267 920356 1150445 1380534 2300890 2761068 3451335 4601780 5752225 6902670 7132759 11504450 13805340 14265518 17256675 21398277 23008900 28531036 34513350 35663795 42796554 69026700 71327590 85593108 106991385 142655180 178318975 213982770 356637950 427965540 534956925 713275900 1069913850 2139827700