Search a number
-
+
1153106388 = 223371525273
BaseRepresentation
bin100010010111011…
…0000000111010100
32222100202212121000
41010232300013110
54330143401023
6310231023300
740401146130
oct10456600724
92870685530
101153106388
11541997995
1228220ab30
13154b85c95
14ad2043c0
156b376243
hex44bb01d4

1153106388 has 48 divisors (see below), whose sum is σ = 3416613760. Its totient is φ = 329458752.

The previous prime is 1153106387. The next prime is 1153106393. The reversal of 1153106388 is 8836013511.

1153106388 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 10 + 638 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153106387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761881 + ... + 763392.

Almost surely, 21153106388 is an apocalyptic number.

1153106388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1153106388 is an abundant number, since it is smaller than the sum of its proper divisors (2263507372).

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

1153106388 is a wasteful number, since it uses less digits than its factorization.

1153106388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525293 (or 1525285 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1153106388 is about 33957.4202200344. The cubic root of 1153106388 is about 1048.6320471597.

Adding to 1153106388 its reverse (8836013511), we get a palindrome (9989119899).

The spelling of 1153106388 in words is "one billion, one hundred fifty-three million, one hundred six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1525273 3050546 4575819 6101092 9151638 10676911 13727457 18303276 21353822 27454914 32030733 41182371 42707644 54909828 64061466 82364742 96092199 128122932 164729484 192184398 288276597 384368796 576553194 1153106388