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5651630240 = 255417011229
BaseRepresentation
bin1010100001101110…
…10000100010100000
3112120212112120012112
411100313100202200
543033304131430
62332450014452
7260024031044
oct52067204240
915525476175
105651630240
11244021a4a3
121118877428
136c0b63909
143b8848024
15231272195
hex150dd08a0

5651630240 has 96 divisors (see below), whose sum is σ = 13708290960. Its totient is φ = 2200576000.

The previous prime is 5651630239. The next prime is 5651630261. The reversal of 5651630240 is 420361565.

It can be written as a sum of positive squares in 8 ways, for example, as 3849457936 + 1802172304 = 62044^2 + 42452^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5651630197 and 5651630206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4597946 + ... + 4599174.

Almost surely, 25651630240 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 5651630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854145480).

5651630240 is an abundant number, since it is smaller than the sum of its proper divisors (8056660720).

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

5651630240 is a wasteful number, since it uses less digits than its factorization.

5651630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

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

The square root of 5651630240 is about 75177.3253049083. The cubic root of 5651630240 is about 1781.2487807276.

The spelling of 5651630240 in words is "five billion, six hundred fifty-one million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 701 820 1229 1312 1402 1640 2458 2804 3280 3505 4916 5608 6145 6560 7010 9832 11216 12290 14020 19664 22432 24580 28040 28741 39328 49160 50389 56080 57482 98320 100778 112160 114964 143705 196640 201556 229928 251945 287410 403112 459856 503890 574820 806224 861529 919712 1007780 1149640 1612448 1723058 2015560 2299280 3446116 4031120 4307645 4598560 6892232 8062240 8615290 13784464 17230580 27568928 34461160 35322689 68922320 70645378 137844640 141290756 176613445 282581512 353226890 565163024 706453780 1130326048 1412907560 2825815120 5651630240