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1152250000 = 245611419
BaseRepresentation
bin100010010101101…
…1111000010010000
32222022011100211221
41010223133002100
54324434000000
6310200414424
740360651306
oct10453370220
92868140757
101152250000
11541462530
12281a77414
13154946245
14ad060276
156b25761a
hex44adf090

1152250000 has 140 divisors (see below), whose sum is σ = 3051523440. Its totient is φ = 418000000.

The previous prime is 1152249971. The next prime is 1152250027. The reversal of 1152250000 is 522511.

1152250000 = 2582 + 2592 + ... + 15142.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 2749791 + ... + 2750209.

It is an arithmetic number, because the mean of its divisors is an integer number (21796596).

Almost surely, 21152250000 is an apocalyptic number.

1152250000 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 1152250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525761720).

1152250000 is an abundant number, since it is smaller than the sum of its proper divisors (1899273440).

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

1152250000 is an frugal number, since it uses more digits than its factorization.

1152250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1152250000 is about 33944.8081449874. The cubic root of 1152250000 is about 1048.3723838363.

Adding to 1152250000 its reverse (522511), we get a palindrome (1152772511).

It can be divided in two parts, 1152 and 250000, that added together give a palindrome (251152).

The spelling of 1152250000 in words is "one billion, one hundred fifty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 419 440 500 550 625 838 880 1000 1100 1250 1375 1676 2000 2095 2200 2500 2750 3125 3352 4190 4400 4609 5000 5500 6250 6704 6875 8380 9218 10000 10475 11000 12500 13750 15625 16760 18436 20950 22000 23045 25000 27500 31250 33520 34375 36872 41900 46090 50000 52375 55000 62500 68750 73744 83800 92180 104750 110000 115225 125000 137500 167600 171875 184360 209500 230450 250000 261875 275000 343750 368720 419000 460900 523750 550000 576125 687500 838000 921800 1047500 1152250 1309375 1375000 1843600 2095000 2304500 2618750 2750000 2880625 4190000 4609000 5237500 5761250 6546875 9218000 10475000 11522500 13093750 14403125 20950000 23045000 26187500 28806250 46090000 52375000 57612500 72015625 104750000 115225000 144031250 230450000 288062500 576125000 1152250000