Search a number
-
+
1097464900 = 225275926573
BaseRepresentation
bin100000101101001…
…1111110001000100
32211111001222211011
41001122133301010
54221422334100
6300522252004
736124204060
oct10132376104
92744058734
101097464900
11513543694
12267657004
131464a3b1c
14a5a7caa0
1566534bba
hex4169fc44

1097464900 has 72 divisors (see below), whose sum is σ = 2767947840. Its totient is φ = 369882240.

The previous prime is 1097464861. The next prime is 1097464939. The reversal of 1097464900 is 94647901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1097464861) and next prime (1097464939).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28014 + ... + 54586.

It is an arithmetic number, because the mean of its divisors is an integer number (38443720).

Almost surely, 21097464900 is an apocalyptic number.

1097464900 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 1097464900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383973920).

1097464900 is an abundant number, since it is smaller than the sum of its proper divisors (1670482940).

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

1097464900 is a wasteful number, since it uses less digits than its factorization.

1097464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26653 (or 26646 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1097464900 is about 33128.0077879730. The cubic root of 1097464900 is about 1031.4864953780.

The spelling of 1097464900 in words is "one billion, ninety-seven million, four hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2950 4130 5900 8260 10325 20650 26573 41300 53146 106292 132865 186011 265730 372022 531460 664325 744044 930055 1328650 1567807 1860110 2657300 3135614 3720220 4650275 6271228 7839035 9300550 10974649 15678070 18601100 21949298 31356140 39195175 43898596 54873245 78390350 109746490 156780700 219492980 274366225 548732450 1097464900