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5638754240 = 265711322277
BaseRepresentation
bin1010100000001100…
…01000111111000000
3112112222022101122122
411100012020333000
543022010113430
62331310023412
7256506422510
oct52006107700
915488271578
105638754240
112433a25579
1211144a7b68
136bb2a5c92
143b6c55840
1523007bee5
hex150188fc0

5638754240 has 112 divisors (see below), whose sum is σ = 15481962432. Its totient is φ = 1916092416.

The previous prime is 5638754201. The next prime is 5638754243. The reversal of 5638754240 is 424578365.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5638754191 and 5638754200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5638754243) 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, 241982 + ... + 264258.

Almost surely, 25638754240 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 5638754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740981216).

5638754240 is an abundant number, since it is smaller than the sum of its proper divisors (9843208192).

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

5638754240 is a wasteful number, since it uses less digits than its factorization.

5638754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22414 (or 22404 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The square root of 5638754240 is about 75091.6389486872. The cubic root of 5638754240 is about 1779.8950238979.

The spelling of 5638754240 in words is "five billion, six hundred thirty-eight million, seven hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 140 160 224 226 280 320 448 452 560 565 791 904 1120 1130 1582 1808 2240 2260 3164 3616 3955 4520 6328 7232 7910 9040 12656 15820 18080 22277 25312 31640 36160 44554 50624 63280 89108 111385 126560 155939 178216 222770 253120 311878 356432 445540 623756 712864 779695 891080 1247512 1425728 1559390 1782160 2495024 2517301 3118780 3564320 4990048 5034602 6237560 7128640 9980096 10069204 12475120 12586505 17621107 20138408 24950240 25173010 35242214 40276816 49900480 50346020 70484428 80553632 88105535 100692040 140968856 161107264 176211070 201384080 281937712 352422140 402768160 563875424 704844280 805536320 1127750848 1409688560 2819377120 5638754240