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1200213140 = 2257232912853
BaseRepresentation
bin100011110001001…
…1100110010010100
310002122102010220112
41013202130302110
54424223310030
6315032422152
741512433450
oct10742346224
93078363815
101200213140
11566541995
12295b47958
1316186a4b9
14b5587660
157057da95
hex4789cc94

1200213140 has 96 divisors (see below), whose sum is σ = 3109639680. Its totient is φ = 380007936.

The previous prime is 1200213127. The next prime is 1200213151. The reversal of 1200213140 is 413120021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86954 + ... + 99806.

It is an arithmetic number, because the mean of its divisors is an integer number (32392080).

Almost surely, 21200213140 is an apocalyptic number.

1200213140 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 1200213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554819840).

1200213140 is an abundant number, since it is smaller than the sum of its proper divisors (1909426540).

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

1200213140 is a wasteful number, since it uses less digits than its factorization.

1200213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921 (or 12919 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1200213140 is about 34644.0924256936. The cubic root of 1200213140 is about 1062.7214807490.

Adding to 1200213140 its reverse (413120021), we get a palindrome (1613333161).

The spelling of 1200213140 in words is "one billion, two hundred million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 29 35 46 58 70 92 115 116 140 145 161 203 230 290 322 406 460 580 644 667 805 812 1015 1334 1610 2030 2668 3220 3335 4060 4669 6670 9338 12853 13340 18676 23345 25706 46690 51412 64265 89971 93380 128530 179942 257060 295619 359884 372737 449855 591238 745474 899710 1182476 1478095 1490948 1799420 1863685 2069333 2609159 2956190 3727370 4138666 5218318 5912380 7454740 8277332 8572951 10346665 10436636 13045795 17145902 20693330 26091590 34291804 41386660 42864755 52183180 60010657 85729510 120021314 171459020 240042628 300053285 600106570 1200213140