Search a number
-
+
1053035505 = 335171393301
BaseRepresentation
bin111110110001000…
…000101111110001
32201101110202011000
4332301000233301
54124034114010
6252254112213
735044440234
oct7661005761
92641422130
101053035505
114a0458185
122547ab669
1313a219142
149dbd541b
15626aa7c0
hex3ec40bf1

1053035505 has 64 divisors (see below), whose sum is σ = 1997049600. Its totient is φ = 524620800.

The previous prime is 1053035491. The next prime is 1053035507. The reversal of 1053035505 is 5055303501.

1053035505 is a `hidden beast` number, since 105 + 3 + 0 + 3 + 550 + 5 = 666.

It is not a de Polignac number, because 1053035505 - 29 = 1053034993 is a prime.

It is a super-2 number, since 2×10530355052 = 2217767549581210050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1053035507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317355 + ... + 320655.

It is an arithmetic number, because the mean of its divisors is an integer number (31203900).

Almost surely, 21053035505 is an apocalyptic number.

1053035505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053035505 is a deficient number, since it is larger than the sum of its proper divisors (944014095).

1053035505 is a wasteful number, since it uses less digits than its factorization.

1053035505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 1053035505 is about 32450.5085476330. The cubic root of 1053035505 is about 1017.3748672451.

The spelling of 1053035505 in words is "one billion, fifty-three million, thirty-five thousand, five hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 139 153 255 417 459 695 765 1251 2085 2295 2363 3301 3753 6255 7089 9903 11815 16505 18765 21267 29709 35445 49515 56117 63801 89127 106335 148545 168351 280585 319005 445635 458839 505053 841755 1376517 1515159 2294195 2525265 4129551 6882585 7575795 7800263 12388653 20647755 23400789 39001315 61943265 70202367 117003945 210607101 351011835 1053035505