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20150432240 = 245675416949
BaseRepresentation
bin10010110001000011…
…110011000111110000
31221000022121000111012
4102301003303013300
5312232002312430
613131301410052
71312226563601
oct226103630760
957008530435
1020150432240
118600436a94
123aa4409928
131b918c84b3
14d92283da8
157ce083695
hex4b10f31f0

20150432240 has 80 divisors (see below), whose sum is σ = 47643751200. Its totient is φ = 7924055040.

The previous prime is 20150432201. The next prime is 20150432339. The reversal of 20150432240 is 4223405102.

It is a happy number.

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, 2896286 + ... + 2903234.

It is an arithmetic number, because the mean of its divisors is an integer number (595546890).

Almost surely, 220150432240 is an apocalyptic number.

20150432240 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 20150432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821875600).

20150432240 is an abundant number, since it is smaller than the sum of its proper divisors (27493318960).

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

20150432240 is a wasteful number, since it uses less digits than its factorization.

20150432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 20150432240 its reverse (4223405102), we get a palindrome (24373837342).

The spelling of 20150432240 in words is "twenty billion, one hundred fifty million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 541 670 1072 1082 1340 2164 2680 2705 4328 5360 5410 6949 8656 10820 13898 21640 27796 34745 36247 43280 55592 69490 72494 111184 138980 144988 181235 277960 289976 362470 465583 555920 579952 724940 931166 1449880 1862332 2327915 2899760 3724664 3759409 4655830 7449328 7518818 9311660 15037636 18623320 18797045 30075272 37246640 37594090 60150544 75188180 150376360 251880403 300752720 503760806 1007521612 1259402015 2015043224 2518804030 4030086448 5037608060 10075216120 20150432240