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1115145000 = 23325424781
BaseRepresentation
bin100001001110111…
…1100001100101000
32212201100020100200
41002131330030220
54240434120000
6302353232200
736430401414
oct10235741450
92781306320
101115145000
11522519a42
12271562660
1314a054318
14a8161d44
1567d78500
hex4277c328

1115145000 has 120 divisors (see below), whose sum is σ = 3774174690. Its totient is φ = 297360000.

The previous prime is 1115144999. The next prime is 1115145001. The reversal of 1115145000 is 5415111.

It is a happy number.

1115145000 is a `hidden beast` number, since 11 + 151 + 4 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1115144999) and next prime (1115145001).

It can be written as a sum of positive squares in 5 ways, for example, as 1855044 + 1113289956 = 1362^2 + 33366^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1115145001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32610 + ... + 57390.

Almost surely, 21115145000 is an apocalyptic number.

1115145000 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 1115145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887087345).

1115145000 is an abundant number, since it is smaller than the sum of its proper divisors (2659029690).

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

1115145000 is a wasteful number, since it uses less digits than its factorization.

1115145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24813 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1115145000 is about 33393.7868472565. The cubic root of 1115145000 is about 1036.9960779206.

The spelling of 1115145000 in words is "one billion, one hundred fifteen million, one hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 24781 45000 49562 74343 99124 123905 148686 198248 223029 247810 297372 371715 446058 495620 594744 619525 743430 892116 991240 1115145 1239050 1486860 1784232 1858575 2230290 2478100 2973720 3097625 3717150 4460580 4956200 5575725 6195250 7434300 8921160 9292875 11151450 12390500 14868600 15488125 18585750 22302900 24781000 27878625 30976250 37171500 44605800 46464375 55757250 61952500 74343000 92928750 111514500 123905000 139393125 185857500 223029000 278786250 371715000 557572500 1115145000