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2120617248 = 25331712573
BaseRepresentation
bin111111001100110…
…0000110100100000
312110210022111222120
41332121200310200
513320334222443
6550232104240
7103356643401
oct17631406440
95423274876
102120617248
11999040142
124b2235080
1327a459209
141618d59a8
15c628b083
hex7e660d20

2120617248 has 48 divisors (see below), whose sum is σ = 5746196736. Its totient is φ = 684069120.

The previous prime is 2120617231. The next prime is 2120617249. The reversal of 2120617248 is 8427160212.

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 (2120617249) 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, 353311 + ... + 359262.

It is an arithmetic number, because the mean of its divisors is an integer number (119712432).

Almost surely, 22120617248 is an apocalyptic number.

It is an amenable number.

2120617248 is an abundant number, since it is smaller than the sum of its proper divisors (3625579488).

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

2120617248 is a wasteful number, since it uses less digits than its factorization.

2120617248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712617 (or 712609 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2120617248 is about 46050.1601300147. The cubic root of 2120617248 is about 1284.7563211367.

The spelling of 2120617248 in words is "two billion, one hundred twenty million, six hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 712573 1425146 2137719 2850292 4275438 5700584 8550876 11401168 17101752 22089763 22802336 34203504 44179526 66269289 68407008 88359052 132538578 176718104 265077156 353436208 530154312 706872416 1060308624 2120617248