Search a number
-
+
1101038464 = 2771971249
BaseRepresentation
bin100000110100000…
…1000001110000000
32211201210112211101
41001220020032000
54223331212324
6301131024144
736166446451
oct10150101600
92751715741
101101038464
11515564549
1226889b054
13147155566
14a632d128
15669dd944
hex41a08380

1101038464 has 64 divisors (see below), whose sum is σ = 2249100000. Its totient is φ = 536739840.

The previous prime is 1101038459. The next prime is 1101038479. The reversal of 1101038464 is 4648301011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880912 + ... + 882160.

Almost surely, 21101038464 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 1101038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124550000).

1101038464 is an abundant number, since it is smaller than the sum of its proper divisors (1148061536).

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

1101038464 is an equidigital number, since it uses as much as digits as its factorization.

1101038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1101038464 is about 33181.8996442338. The cubic root of 1101038464 is about 1032.6048574490.

Adding to 1101038464 its reverse (4648301011), we get a palindrome (5749339475).

The spelling of 1101038464 in words is "one billion, one hundred one million, thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 97 128 142 194 284 388 568 776 1136 1249 1552 2272 2498 3104 4544 4996 6208 6887 9088 9992 12416 13774 19984 27548 39968 55096 79936 88679 110192 121153 159872 177358 220384 242306 354716 440768 484612 709432 881536 969224 1418864 1938448 2837728 3876896 5675456 7753792 8601863 11350912 15507584 17203726 34407452 68814904 137629808 275259616 550519232 1101038464