Search a number
-
+
1053238896 = 243353157293
BaseRepresentation
bin111110110001110…
…010011001110000
32201101212002011000
4332301302121300
54124112121041
6252302322000
735046245223
oct7661623160
92641762130
101053238896
114a0586a76
12254889300
1313a28a8a8
149dc495ba
15626eabb6
hex3ec72670

1053238896 has 160 divisors (see below), whose sum is σ = 3110425920. Its totient is φ = 341093376.

The previous prime is 1053238891. The next prime is 1053238897. The reversal of 1053238896 is 6988323501.

It is a happy number.

1053238896 is a `hidden beast` number, since 1 + 0 + 532 + 38 + 89 + 6 = 666.

It is a super-2 number, since 2×10532388962 = 2218624344094597632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053238891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594526 + ... + 3594818.

It is an arithmetic number, because the mean of its divisors is an integer number (19440162).

Almost surely, 21053238896 is an apocalyptic number.

1053238896 is a gapful number since it is divisible by the number (16) 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 1053238896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555212960).

1053238896 is an abundant number, since it is smaller than the sum of its proper divisors (2057187024).

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

1053238896 is a wasteful number, since it uses less digits than its factorization.

1053238896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1053238896 is about 32453.6422609235. The cubic root of 1053238896 is about 1017.4403641094.

The spelling of 1053238896 in words is "one billion, fifty-three million, two hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 157 159 212 216 293 314 318 424 432 471 477 586 628 636 848 879 942 954 1172 1256 1272 1413 1431 1758 1884 1908 2344 2512 2544 2637 2826 2862 3516 3768 3816 4239 4688 5274 5652 5724 7032 7536 7632 7911 8321 8478 10548 11304 11448 14064 15529 15822 16642 16956 21096 22608 22896 24963 31058 31644 33284 33912 42192 46001 46587 49926 62116 63288 66568 67824 74889 92002 93174 99852 124232 126576 133136 138003 139761 149778 184004 186348 199704 224667 248464 276006 279522 299556 368008 372696 399408 414009 419283 449334 552012 559044 599112 736016 745392 828018 838566 898668 1104024 1118088 1198224 1242027 1656036 1677132 1797336 2208048 2236176 2438053 2484054 3312072 3354264 3594672 4876106 4968108 6624144 6708528 7314159 9752212 9936216 14628318 19504424 19872432 21942477 29256636 39008848 43884954 58513272 65827431 87769908 117026544 131654862 175539816 263309724 351079632 526619448 1053238896