Search a number
-
+
1053005024 = 25172313673
BaseRepresentation
bin111110110000111…
…001010011100000
32201101102012100002
4332300321103200
54124032130044
6252253315132
735044252331
oct7660712340
92641365302
101053005024
114a0437295
12254795aa8
1313a2082c6
149dbc8288
15626a174e
hex3ec394e0

1053005024 has 72 divisors (see below), whose sum is σ = 2273882688. Its totient is φ = 479416320.

The previous prime is 1053005017. The next prime is 1053005033. The reversal of 1053005024 is 4205003501.

1053005024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10530050242 = 2217639161138481152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053004987 and 1053005005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284852 + ... + 288524.

It is an arithmetic number, because the mean of its divisors is an integer number (31581704).

Almost surely, 21053005024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136941344).

1053005024 is an abundant number, since it is smaller than the sum of its proper divisors (1220877664).

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

1053005024 is a wasteful number, since it uses less digits than its factorization.

1053005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1053005024 is about 32450.0388905776. The cubic root of 1053005024 is about 1017.3650508928.

Adding to 1053005024 its reverse (4205003501), we get a palindrome (5258008525).

The spelling of 1053005024 in words is "one billion, fifty-three million, five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 289 496 527 544 578 992 1054 1156 2108 2312 3673 4216 4624 7346 8432 8959 9248 14692 16864 17918 29384 35836 58768 62441 71672 113863 117536 124882 143344 227726 249764 286688 455452 499528 910904 999056 1061497 1821808 1935671 1998112 2122994 3643616 3871342 4245988 7742684 8491976 15485368 16983952 30970736 32906407 33967904 61941472 65812814 131625628 263251256 526502512 1053005024