Search a number
-
+
1053058064 = 24173871537
BaseRepresentation
bin111110110001000…
…110010000010000
32201101111220002112
4332301012100100
54124040324224
6252254404452
735044563062
oct7661062020
92641456075
101053058064
114a0473123
12254800728
1313a2264a6
149dbdd732
15626b230e
hex3ec46410

1053058064 has 20 divisors (see below), whose sum is σ = 2160318204. Its totient is φ = 495556608.

The previous prime is 1053057997. The next prime is 1053058087. The reversal of 1053058064 is 4608503501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 936849664 + 116208400 = 30608^2 + 10780^2 .

It is a super-2 number, since 2×10530580642 = 2217862572310856192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053058064.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1935497 + ... + 1936040.

Almost surely, 21053058064 is an apocalyptic number.

It is an amenable number.

1053058064 is an abundant number, since it is smaller than the sum of its proper divisors (1107260140).

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

1053058064 is a wasteful number, since it uses less digits than its factorization.

1053058064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871562 (or 3871556 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1053058064 is about 32450.8561366260. The cubic root of 1053058064 is about 1017.3821322093.

The spelling of 1053058064 in words is "one billion, fifty-three million, fifty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 3871537 7743074 15486148 30972296 61944592 65816129 131632258 263264516 526529032 1053058064