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5653261040 = 245764115749
BaseRepresentation
bin1010100001111010…
…11110101011110000
3112120222121102020112
411100331132223300
543034213323130
62332545000452
7260043632420
oct52075365360
915528542215
105653261040
112441133769
121119323128
136c12b4c9b
143b8b50480
15231495495
hex150f5eaf0

5653261040 has 80 divisors (see below), whose sum is σ = 15045912000. Its totient is φ = 1935114240.

The previous prime is 5653261037. The next prime is 5653261049. The reversal of 5653261040 is 401623565.

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

It is a junction number, because it is equal to n+sod(n) for n = 5653260988 and 5653261006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5653261049) 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, 351086 + ... + 366834.

It is an arithmetic number, because the mean of its divisors is an integer number (188073900).

Almost surely, 25653261040 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 5653261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522956000).

5653261040 is an abundant number, since it is smaller than the sum of its proper divisors (9392650960).

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

5653261040 is a wasteful number, since it uses less digits than its factorization.

5653261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16410 (or 16404 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5653261040 is about 75188.1708781375. The cubic root of 5653261040 is about 1781.4200930174.

The spelling of 5653261040 in words is "five billion, six hundred fifty-three million, two hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 641 1282 2564 3205 4487 5128 6410 8974 10256 12820 15749 17948 22435 25640 31498 35896 44870 51280 62996 71792 78745 89740 110243 125992 157490 179480 220486 251984 314980 358960 440972 551215 629960 881944 1102430 1259920 1763888 2204860 4409720 8819440 10095109 20190218 40380436 50475545 70665763 80760872 100951090 141331526 161521744 201902180 282663052 353328815 403804360 565326104 706657630 807608720 1130652208 1413315260 2826630520 5653261040