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2132412760 = 235831314903
BaseRepresentation
bin111111100011010…
…0000100101011000
312111121111210101101
41333012200211120
513331344202020
6551333001144
7103562131552
oct17706404530
95447453341
102132412760
119a47672a5
124b61831b4
1327ca290ca
141632c64d2
15c731b00a
hex7f1a0958

2132412760 has 64 divisors (see below), whose sum is σ = 4893799680. Its totient is φ = 836085120.

The previous prime is 2132412743. The next prime is 2132412767. The reversal of 2132412760 is 672142312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132412767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432469 + ... + 437371.

It is an arithmetic number, because the mean of its divisors is an integer number (76465620).

Almost surely, 22132412760 is an apocalyptic number.

2132412760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132412760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446899840).

2132412760 is an abundant number, since it is smaller than the sum of its proper divisors (2761386920).

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

2132412760 is a wasteful number, since it uses less digits than its factorization.

2132412760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2132412760 is about 46178.0549612042. The cubic root of 2132412760 is about 1287.1339853790.

The spelling of 2132412760 in words is "two billion, one hundred thirty-two million, four hundred twelve thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 83 131 166 262 332 415 524 655 664 830 1048 1310 1660 2620 3320 4903 5240 9806 10873 19612 21746 24515 39224 43492 49030 54365 86984 98060 108730 196120 217460 406949 434920 642293 813898 1284586 1627796 2034745 2569172 3211465 3255592 4069490 5138344 6422930 8138980 12845860 16277960 25691720 53310319 106620638 213241276 266551595 426482552 533103190 1066206380 2132412760