Search a number
-
+
1955015136 = 253341229241
BaseRepresentation
bin111010010000111…
…0010100111100000
312001020201001121000
41310201302213200
513000440441021
6521554432000
766306232404
oct16441624740
95036631530
101955015136
11913611898
12466892600
132520568b9
14147909104
15b6978b26
hex748729e0

1955015136 has 192 divisors, whose sum is σ = 5891054400. Its totient is φ = 630374400.

The previous prime is 1955015131. The next prime is 1955015141. The reversal of 1955015136 is 6315105591.

1955015136 is a `hidden beast` number, since 1 + 95 + 50 + 1 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1955015131) and next prime (1955015141).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1955015136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955015131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8111976 + ... + 8112216.

It is an arithmetic number, because the mean of its divisors is an integer number (30682575).

Almost surely, 21955015136 is an apocalyptic number.

1955015136 is a gapful number since it is divisible by the number (16) 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 1955015136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945527200).

1955015136 is an abundant number, since it is smaller than the sum of its proper divisors (3936039264).

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

1955015136 is a wasteful number, since it uses less digits than its factorization.

1955015136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 1955015136 is about 44215.5531006907. The cubic root of 1955015136 is about 1250.4030990083.

The spelling of 1955015136 in words is "one billion, nine hundred fifty-five million, fifteen thousand, one hundred thirty-six".