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1141890552 = 2332112131071
BaseRepresentation
bin100010000001111…
…1101110111111000
32221120200001100200
41010003331313320
54314310444202
6305150402200
740203623655
oct10403756770
92846601320
101141890552
11536627300
1227a500360
13152759baa
14ab924c2c
156a3ace1c
hex440fddf8

1141890552 has 72 divisors (see below), whose sum is σ = 3399352320. Its totient is φ = 346024800.

The previous prime is 1141890523. The next prime is 1141890553. The reversal of 1141890552 is 2550981411.

1141890552 is a `hidden beast` number, since 1 + 1 + 4 + 18 + 90 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (1141890553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56824 + ... + 74247.

Almost surely, 21141890552 is an apocalyptic number.

1141890552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141890552 is an abundant number, since it is smaller than the sum of its proper divisors (2257461768).

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

1141890552 is a wasteful number, since it uses less digits than its factorization.

1141890552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131105 (or 131087 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1141890552 is about 33791.8710935041. The cubic root of 1141890552 is about 1045.2210797256.

The spelling of 1141890552 in words is "one billion, one hundred forty-one million, eight hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 131071 262142 393213 524284 786426 1048568 1179639 1441781 1572852 2359278 2883562 3145704 4325343 4718556 5767124 8650686 9437112 11534248 12976029 15859591 17301372 25952058 31719182 34602744 47578773 51904116 63438364 95157546 103808232 126876728 142736319 190315092 285472638 380630184 570945276 1141890552