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1102352240 = 245114130553
BaseRepresentation
bin100000110110100…
…1000111101110000
32211211021021222202
41001231020331300
54224200232430
6301215122332
736213560633
oct10155107560
92754237882
101102352240
11516281610
122692133a8
131474c5542
14a6591c1a
1566b9cd45
hex41b48f70

1102352240 has 80 divisors (see below), whose sum is σ = 2864254176. Its totient is φ = 391065600.

The previous prime is 1102352227. The next prime is 1102352243. The reversal of 1102352240 is 422532011.

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

It is a super-2 number, since 2×11023522402 = 2430360922066035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102352243) 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, 20804 + ... + 51356.

Almost surely, 21102352240 is an apocalyptic number.

1102352240 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 1102352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432127088).

1102352240 is an abundant number, since it is smaller than the sum of its proper divisors (1761901936).

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

1102352240 is a wasteful number, since it uses less digits than its factorization.

1102352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30618 (or 30612 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1102352240 is about 33201.6903184160. The cubic root of 1102352240 is about 1033.0154008600.

Adding to 1102352240 its reverse (422532011), we get a palindrome (1524884251).

The spelling of 1102352240 in words is "one billion, one hundred two million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 30553 36080 61106 122212 152765 244424 305530 336083 488848 611060 672166 1222120 1252673 1344332 1680415 2444240 2505346 2688664 3360830 5010692 5377328 6263365 6721660 10021384 12526730 13443320 13779403 20042768 25053460 26886640 27558806 50106920 55117612 68897015 100213840 110235224 137794030 220470448 275588060 551176120 1102352240