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1155052000 = 2553417043
BaseRepresentation
bin100010011011000…
…1011000111100000
32222111102201110201
41010312023013200
54331143131000
6310340434544
740423531354
oct10466130740
92874381421
101155052000
11542aa6733
122829a8a54
131553b772b
14ad58d464
156b60c96a
hex44d8b1e0

1155052000 has 96 divisors (see below), whose sum is σ = 2907594144. Its totient is φ = 450688000.

The previous prime is 1155051967. The next prime is 1155052007. The reversal of 1155052000 is 2505511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155052007) 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, 160479 + ... + 167521.

It is an arithmetic number, because the mean of its divisors is an integer number (30287439).

Almost surely, 21155052000 is an apocalyptic number.

1155052000 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 1155052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453797072).

1155052000 is an abundant number, since it is smaller than the sum of its proper divisors (1752542144).

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

1155052000 is an equidigital number, since it uses as much as digits as its factorization.

1155052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 1155052000 is about 33986.0559641745. The cubic root of 1155052000 is about 1049.2214939822.

Adding to 1155052000 its reverse (2505511), we get a palindrome (1157557511).

The spelling of 1155052000 in words is "one billion, one hundred fifty-five million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 7043 8200 10250 14086 16400 20500 28172 32800 35215 41000 56344 70430 82000 112688 140860 164000 176075 225376 281720 288763 352150 563440 577526 704300 880375 1126880 1155052 1408600 1443815 1760750 2310104 2817200 2887630 3521500 4620208 5634400 5775260 7043000 7219075 9240416 11550520 14086000 14438150 23101040 28172000 28876300 36095375 46202080 57752600 72190750 115505200 144381500 231010400 288763000 577526000 1155052000