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1070993920 = 295418357
BaseRepresentation
bin111111110101100…
…001001000000000
32202122021010110111
4333311201020000
54143133301140
6254135041104
735353204153
oct7765411000
92678233414
101070993920
114aa603647
1225a810194
13140b66219
14a234bc9a
15640567ea
hex3fd61200

1070993920 has 40 divisors (see below), whose sum is σ = 2567881404. Its totient is φ = 428396544.

The previous prime is 1070993899. The next prime is 1070993929. The reversal of 1070993920 is 293990701.

It can be written as a sum of positive squares in 2 ways, for example, as 966463744 + 104530176 = 31088^2 + 10224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10709939202 = 2294055953353932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1070993929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206619 + ... + 211738.

Almost surely, 21070993920 is an apocalyptic number.

1070993920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070993920 is an abundant number, since it is smaller than the sum of its proper divisors (1496887484).

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

1070993920 is an frugal number, since it uses more digits than its factorization.

1070993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418380 (or 418364 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 1070993920 is about 32726.0434516609. The cubic root of 1070993920 is about 1023.1257186031.

The spelling of 1070993920 in words is "one billion, seventy million, nine hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 418357 836714 1673428 2091785 3346856 4183570 6693712 8367140 13387424 16734280 26774848 33468560 53549696 66937120 107099392 133874240 214198784 267748480 535496960 1070993920