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2137105400 = 235215976691
BaseRepresentation
bin111111101100001…
…1010001111111000
312111221100012110212
41333120122033320
513334044333100
6552021330252
7103650044663
oct17730321770
95457305425
102137105400
119a7381a11
124b7866988
132809b0011
14163b886da
15c7946635
hex7f61a3f8

2137105400 has 48 divisors (see below), whose sum is σ = 4972624440. Its totient is φ = 854179200.

The previous prime is 2137105391. The next prime is 2137105417. The reversal of 2137105400 is 45017312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316055 + ... + 322745.

Almost surely, 22137105400 is an apocalyptic number.

2137105400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137105400 is an abundant number, since it is smaller than the sum of its proper divisors (2835519040).

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

2137105400 is a wasteful number, since it uses less digits than its factorization.

2137105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2137105400 is about 46228.8373204432. The cubic root of 2137105400 is about 1288.0774598812.

The spelling of 2137105400 in words is "two billion, one hundred thirty-seven million, one hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1597 3194 6388 6691 7985 12776 13382 15970 26764 31940 33455 39925 53528 63880 66910 79850 133820 159700 167275 267640 319400 334550 669100 1338200 10685527 21371054 42742108 53427635 85484216 106855270 213710540 267138175 427421080 534276350 1068552700 2137105400