Search a number
-
+
1057038381 = 32719883073
BaseRepresentation
bin111111000000010…
…010000000101101
32201200000010001200
4333000102000231
54131100212011
6252520000113
735123451360
oct7700220055
92650003050
101057038381
114a2741643
12256000039
1313acbb0c9
14a05580d7
1562beb856
hex3f01202d

1057038381 has 24 divisors (see below), whose sum is σ = 1836793920. Its totient is φ = 572230656.

The previous prime is 1057038377. The next prime is 1057038383. The reversal of 1057038381 is 1838307501.

1057038381 is a `hidden beast` number, since 1 + 0 + 570 + 3 + 8 + 3 + 81 = 666.

It is not a de Polignac number, because 1057038381 - 22 = 1057038377 is a prime.

It is a super-2 number, since 2×10570383812 = 2234660277814202322, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057038383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440340 + ... + 442733.

It is an arithmetic number, because the mean of its divisors is an integer number (76533080).

Almost surely, 21057038381 is an apocalyptic number.

It is an amenable number.

1057038381 is a deficient number, since it is larger than the sum of its proper divisors (779755539).

1057038381 is a wasteful number, since it uses less digits than its factorization.

1057038381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883105 (or 883102 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1057038381 is about 32512.1266760574. The cubic root of 1057038381 is about 1018.6623439905.

The spelling of 1057038381 in words is "one billion, fifty-seven million, thirty-eight thousand, three hundred eighty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 883073 2649219 6181511 7947657 16778387 18544533 50335161 55633599 117448709 151005483 352346127 1057038381