Search a number
-
+
1007939247 = 37227211441
BaseRepresentation
bin111100000100111…
…110111010101111
32121020121121201020
4330010332322233
54031013023442
6244003345223
733656225250
oct7404767257
92536547636
101007939247
11477a56747
12241682213
13130a89a73
1497c16b27
155d74d9ec
hex3c13eeaf

1007939247 has 16 divisors (see below), whose sum is σ = 1542680832. Its totient is φ = 573425280.

The previous prime is 1007939137. The next prime is 1007939249. The reversal of 1007939247 is 7429397001.

It is not a de Polignac number, because 1007939247 - 214 = 1007922863 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007939199 and 1007939208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007939249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100954 + ... + 110487.

It is an arithmetic number, because the mean of its divisors is an integer number (96417552).

Almost surely, 21007939247 is an apocalyptic number.

1007939247 is a deficient number, since it is larger than the sum of its proper divisors (534741585).

1007939247 is a wasteful number, since it uses less digits than its factorization.

1007939247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211678.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 1007939247 is about 31748.0589485405. The cubic root of 1007939247 is about 1002.6394428786.

The spelling of 1007939247 in words is "one billion, seven million, nine hundred thirty-nine thousand, two hundred forty-seven".

Divisors: 1 3 7 21 227 681 1589 4767 211441 634323 1480087 4440261 47997107 143991321 335979749 1007939247