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1361553240 = 233519358789
BaseRepresentation
bin101000100100111…
…1010011101011000
310111220000001220210
41101021322131120
510242024200430
6343034451120
745512003655
oct12111723530
93456001823
101361553240
1163961a113
1231bb93aa0
13189109c08
14ccb84c2c
157e7ed2b0
hex5127a758

1361553240 has 64 divisors (see below), whose sum is σ = 4105893600. Its totient is φ = 361193472.

The previous prime is 1361553223. The next prime is 1361553257. The reversal of 1361553240 is 423551631.

It is an interprime number because it is at equal distance from previous prime (1361553223) and next prime (1361553257).

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 = 1361553198 and 1361553207.

It is a congruent number.

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, 6235 + ... + 52554.

Almost surely, 21361553240 is an apocalyptic number.

1361553240 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 1361553240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052946800).

1361553240 is an abundant number, since it is smaller than the sum of its proper divisors (2744340360).

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

1361553240 is a wasteful number, since it uses less digits than its factorization.

1361553240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58996 (or 58992 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1361553240 is about 36899.2308862936. The cubic root of 1361553240 is about 1108.3532761156.

The spelling of 1361553240 in words is "one billion, three hundred sixty-one million, five hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 23160 58789 117578 176367 235156 293945 352734 470312 587890 705468 881835 1175780 1410936 1763670 2351560 3527340 7054680 11346277 22692554 34038831 45385108 56731385 68077662 90770216 113462770 136155324 170194155 226925540 272310648 340388310 453851080 680776620 1361553240