Search a number
-
+
1098640620 = 22325711312557
BaseRepresentation
bin100000101111011…
…1110110011101100
32211120021201121100
41001132332303230
54222222444440
6301003403100
736140201610
oct10136766354
92746251540
101098640620
11514176a60
12267b23490
131467c600c
14a5ca7340
15666b8230
hex417becec

1098640620 has 288 divisors, whose sum is σ = 4290564096. Its totient is φ = 220838400.

The previous prime is 1098640573. The next prime is 1098640637. The reversal of 1098640620 is 260468901.

1098640620 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 640 + 6 + 2 + 0 = 666.

It is a super-2 number, since 2×10986406202 = 2414022423827968800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 428382 + ... + 430938.

It is an arithmetic number, because the mean of its divisors is an integer number (14897792).

Almost surely, 21098640620 is an apocalyptic number.

1098640620 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 1098640620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145282048).

1098640620 is an abundant number, since it is smaller than the sum of its proper divisors (3191923476).

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

1098640620 is a wasteful number, since it uses less digits than its factorization.

1098640620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1098640620 is about 33145.7481436156. The cubic root of 1098640620 is about 1031.8547095805.

The spelling of 1098640620 in words is "one billion, ninety-eight million, six hundred forty thousand, six hundred twenty".