Search a number
-
+
1955495520 = 253451122943
BaseRepresentation
bin111010010001110…
…0111111001100000
312001021121110120000
41310203213321200
513001101324040
6522013020000
766313303056
oct16443477140
95037543500
101955495520
1191390a800
12466a84600
13252194454
141479d21d6
15b6a21130
hex748e7e60

1955495520 has 720 divisors, whose sum is σ = 8029763280. Its totient is φ = 447068160.

The previous prime is 1955495471. The next prime is 1955495539. The reversal of 1955495520 is 255945591.

1955495520 is a `hidden beast` number, since 1 + 9 + 55 + 49 + 552 + 0 = 666.

1955495520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45476619 + ... + 45476661.

It is an arithmetic number, because the mean of its divisors is an integer number (11152449).

Almost surely, 21955495520 is an apocalyptic number.

1955495520 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 1955495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014881640).

1955495520 is an abundant number, since it is smaller than the sum of its proper divisors (6074267760).

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

1955495520 is a wasteful number, since it uses less digits than its factorization.

1955495520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The square root of 1955495520 is about 44220.9850636550. The cubic root of 1955495520 is about 1250.5055064763.

The spelling of 1955495520 in words is "one billion, nine hundred fifty-five million, four hundred ninety-five thousand, five hundred twenty".