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6363330240 = 263513150599
BaseRepresentation
bin1011110110100100…
…01011011011000000
3121102110201200001210
411323102023123000
5101013003031430
62531232130120
7313455262131
oct57322133300
917373650053
106363330240
112775a30213
121297096940
137a543b587
14445189c88
152739a62b0
hex17b48b6c0

6363330240 has 112 divisors (see below), whose sum is σ = 20358201600. Its totient is φ = 1683901440.

The previous prime is 6363330221. The next prime is 6363330251. The reversal of 6363330240 is 420333636.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6363330198 and 6363330207.

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, 100461 + ... + 151059.

Almost surely, 26363330240 is an apocalyptic number.

6363330240 is a gapful number since it is divisible by the number (60) 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 6363330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179100800).

6363330240 is an abundant number, since it is smaller than the sum of its proper divisors (13994871360).

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

6363330240 is a wasteful number, since it uses less digits than its factorization.

6363330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50750 (or 50740 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 6363330240 is about 79770.4847672371. The cubic root of 6363330240 is about 1853.0827821790.

Adding to 6363330240 its reverse (420333636), we get a palindrome (6783663876).

The spelling of 6363330240 in words is "six billion, three hundred sixty-three million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 20960 25152 31440 41920 50599 62880 101198 125760 151797 202396 252995 303594 404792 505990 607188 758985 809584 1011980 1214376 1517970 1619168 2023960 2428752 3035940 3238336 4047920 4857504 6071880 6628469 8095840 9715008 12143760 13256938 16191680 19885407 24287520 26513876 33142345 39770814 48575040 53027752 66284690 79541628 99427035 106055504 132569380 159083256 198854070 212111008 265138760 318166512 397708140 424222016 530277520 636333024 795416280 1060555040 1272666048 1590832560 2121110080 3181665120 6363330240