Search a number
-
+
2043414660 = 22357219157233
BaseRepresentation
bin111100111001100…
…0000100010000100
312021102001012221110
41321303000202010
513141103232120
6534433245020
7101431511100
oct17163004204
95242035843
102043414660
119594aa751
12490403770
13267468201
1415555a900
15be5db2e0
hex79cc0884

2043414660 has 288 divisors, whose sum is σ = 7080877440. Its totient is φ = 437778432.

The previous prime is 2043414649. The next prime is 2043414683. The reversal of 2043414660 is 664143402.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8769904 + ... + 8770136.

It is an arithmetic number, because the mean of its divisors is an integer number (24586380).

Almost surely, 22043414660 is an apocalyptic number.

2043414660 is a gapful number since it is divisible by the number (20) 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 2043414660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540438720).

2043414660 is an abundant number, since it is smaller than the sum of its proper divisors (5037462780).

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

2043414660 is a wasteful number, since it uses less digits than its factorization.

2043414660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2043414660 is about 45204.1442790371. The cubic root of 2043414660 is about 1268.9723763999.

The spelling of 2043414660 in words is "two billion, forty-three million, four hundred fourteen thousand, six hundred sixty".