Search a number
-
+
1207090900 = 2252195311987
BaseRepresentation
bin100011111110010…
…1011111011010100
310010010100120102101
41013330223323110
54433003402100
6315440051444
741625050311
oct10774537324
93103316371
101207090900
1156a40a294
12298303b84
13163107b92
14b6457d08
1570e8b86a
hex47f2bed4

1207090900 has 72 divisors (see below), whose sum is σ = 2809507680. Its totient is φ = 448755840.

The previous prime is 1207090897. The next prime is 1207090903. The reversal of 1207090900 is 90907021.

It is an interprime number because it is at equal distance from previous prime (1207090897) and next prime (1207090903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207090903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94707 + ... + 106693.

It is an arithmetic number, because the mean of its divisors is an integer number (39020940).

Almost surely, 21207090900 is an apocalyptic number.

1207090900 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 1207090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404753840).

1207090900 is an abundant number, since it is smaller than the sum of its proper divisors (1602416780).

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

1207090900 is a wasteful number, since it uses less digits than its factorization.

1207090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1207090900 is about 34743.2137258487. The cubic root of 1207090900 is about 1064.7475725516.

Adding to 1207090900 its reverse (90907021), we get a palindrome (1297997921).

The spelling of 1207090900 in words is "one billion, two hundred seven million, ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 76 95 100 106 190 212 265 380 475 530 950 1007 1060 1325 1900 2014 2650 4028 5035 5300 10070 11987 20140 23974 25175 47948 50350 59935 100700 119870 227753 239740 299675 455506 599350 635311 911012 1138765 1198700 1270622 2277530 2541244 3176555 4555060 5693825 6353110 11387650 12070909 12706220 15882775 22775300 24141818 31765550 48283636 60354545 63531100 120709090 241418180 301772725 603545450 1207090900