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4070131920 = 243255652961
BaseRepresentation
bin1111001010011001…
…0100100011010000
3101111122200010100200
43302212110203100
531313423210140
61511513015200
7202601356551
oct36246244320
911448603320
104070131920
1117a9535398
129570b4500
134cb3082aa
142a87ac328
1518c4ca030
hexf29948d0

4070131920 has 60 divisors (see below), whose sum is σ = 13668862116. Its totient is φ = 1085368320.

The previous prime is 4070131883. The next prime is 4070131921. The reversal of 4070131920 is 291310704.

It can be written as a sum of positive squares in 2 ways, for example, as 721889424 + 3348242496 = 26868^2 + 57864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070131921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2825761 + ... + 2827200.

Almost surely, 24070131920 is an apocalyptic number.

4070131920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4070131920 is an abundant number, since it is smaller than the sum of its proper divisors (9598730196).

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

4070131920 is a wasteful number, since it uses less digits than its factorization.

4070131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652980 (or 5652971 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4070131920 is about 63797.5855342504. The cubic root of 4070131920 is about 1596.6246447846.

The spelling of 4070131920 in words is "four billion, seventy million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5652961 11305922 16958883 22611844 28264805 33917766 45223688 50876649 56529610 67835532 84794415 90447376 101753298 113059220 135671064 169588830 203506596 226118440 254383245 271342128 339177660 407013192 452236880 508766490 678355320 814026384 1017532980 1356710640 2035065960 4070131920