Search a number
-
+
1200130092 = 2232753591523
BaseRepresentation
bin100011110001000…
…1000100000101100
310002122020220222200
41013202020200230
54424213130332
6315030541500
741511636360
oct10742104054
93078226880
101200130092
11566495557
12295b07890
1316183b765
14b55652a0
157056417c
hex4788882c

1200130092 has 144 divisors (see below), whose sum is σ = 3594689280. Its totient is φ = 330505344.

The previous prime is 1200130091. The next prime is 1200130097. The reversal of 1200130092 is 2900310021.

It is a happy number.

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 (1200130091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787243 + ... + 788765.

It is an arithmetic number, because the mean of its divisors is an integer number (24963120).

Almost surely, 21200130092 is an apocalyptic number.

1200130092 is a gapful number since it is divisible by the number (12) 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 1200130092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797344640).

1200130092 is an abundant number, since it is smaller than the sum of its proper divisors (2394559188).

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

1200130092 is a wasteful number, since it uses less digits than its factorization.

1200130092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1200130092 is about 34642.8938167700. The cubic root of 1200130092 is about 1062.6969687335.

The spelling of 1200130092 in words is "one billion, two hundred million, one hundred thirty thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 59 63 84 106 118 126 159 177 212 236 252 318 354 371 413 477 531 636 708 742 826 954 1062 1113 1239 1484 1523 1652 1908 2124 2226 2478 3046 3127 3339 3717 4452 4569 4956 6092 6254 6678 7434 9138 9381 10661 12508 13356 13707 14868 18276 18762 21322 21889 27414 28143 31983 37524 42644 43778 54828 56286 63966 65667 80719 87556 89857 95949 112572 127932 131334 161438 179714 191898 197001 242157 262668 269571 322876 359428 383796 394002 484314 539142 565033 628999 726471 788004 808713 968628 1078284 1130066 1257998 1452942 1617426 1695099 1886997 2260132 2515996 2905884 3234852 3390198 3773994 4762421 5085297 5660991 6780396 7547988 9524842 10170594 11321982 14287263 19049684 20341188 22643964 28574526 33336947 42861789 57149052 66673894 85723578 100010841 133347788 171447156 200021682 300032523 400043364 600065046 1200130092