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1053233040 = 24357335987
BaseRepresentation
bin111110110001110…
…000111110010000
32201101211210010010
4332301300332100
54124111424130
6252302234520
735046222156
oct7661607620
92641753103
101053233040
114a0582632
12254885a40
1313a288022
149dc473d6
15626e90b0
hex3ec70f90

1053233040 has 80 divisors (see below), whose sum is σ = 3270022848. Its totient is φ = 280432128.

The previous prime is 1053233033. The next prime is 1053233047. The reversal of 1053233040 is 403323501.

It is an interprime number because it is at equal distance from previous prime (1053233033) and next prime (1053233047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10532330402 = 2218599673095283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053232998 and 1053233016.

It is not an unprimeable number, because it can be changed into a prime (1053233047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172927 + ... + 178913.

Almost surely, 21053233040 is an apocalyptic number.

1053233040 is a gapful number since it is divisible by the number (10) 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 1053233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635011424).

1053233040 is an abundant number, since it is smaller than the sum of its proper divisors (2216789808).

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

1053233040 is a wasteful number, since it uses less digits than its factorization.

1053233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1053233040 is about 32453.5520397999. The cubic root of 1053233040 is about 1017.4384784524.

Adding to 1053233040 its reverse (403323501), we get a palindrome (1456556541).

The spelling of 1053233040 in words is "one billion, fifty-three million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 733 1466 2199 2932 3665 4398 5864 5987 7330 8796 10995 11728 11974 14660 17592 17961 21990 23948 29320 29935 35184 35922 43980 47896 58640 59870 71844 87960 89805 95792 119740 143688 175920 179610 239480 287376 359220 478960 718440 1436880 4388471 8776942 13165413 17553884 21942355 26330826 35107768 43884710 52661652 65827065 70215536 87769420 105323304 131654130 175538840 210646608 263308260 351077680 526616520 1053233040