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2132300240 = 24575371843
BaseRepresentation
bin111111100011000…
…0101000111010000
312111121022002000222
41333012011013100
513331332101430
6551330332212
7103561152530
oct17706050720
95447262028
102132300240
119a469a804
124b612a068
1327c9b9b25
141632974c0
15c72e79e5
hex7f1851d0

2132300240 has 80 divisors (see below), whose sum is σ = 5772809088. Its totient is φ = 717270528.

The previous prime is 2132300237. The next prime is 2132300299. The reversal of 2132300240 is 420032312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6242 + ... + 65601.

Almost surely, 22132300240 is an apocalyptic number.

2132300240 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 2132300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886404544).

2132300240 is an abundant number, since it is smaller than the sum of its proper divisors (3640508848).

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

2132300240 is a wasteful number, since it uses less digits than its factorization.

2132300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71916 (or 71910 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2132300240 is about 46176.8366175077. The cubic root of 2132300240 is about 1287.1113457872. Note that the first 3 decimals are identical.

Adding to 2132300240 its reverse (420032312), we get a palindrome (2552332552).

The spelling of 2132300240 in words is "two billion, one hundred thirty-two million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 5936 7420 14840 29680 71843 143686 287372 359215 502901 574744 718430 1005802 1149488 1436860 2011604 2514505 2873720 3807679 4023208 5029010 5747440 7615358 8046416 10058020 15230716 19038395 20116040 26653753 30461432 38076790 40232080 53307506 60922864 76153580 106615012 133268765 152307160 213230024 266537530 304614320 426460048 533075060 1066150120 2132300240