Search a number
-
+
2070504480 = 2535111920639
BaseRepresentation
bin111101101101001…
…0110010000100000
312100022000112012010
41323122112100200
513220022120410
6541242032520
7102210666132
oct17332262040
95308015163
102070504480
11972822730
124994a8740
1326cc616a5
14158dad052
15c1b8cc20
hex7b696420

2070504480 has 192 divisors, whose sum is σ = 7489843200. Its totient is φ = 475499520.

The previous prime is 2070504451. The next prime is 2070504487. The reversal of 2070504480 is 844050702.

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

It is not an unprimeable number, because it can be changed into a prime (2070504487) 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, 90001 + ... + 110639.

It is an arithmetic number, because the mean of its divisors is an integer number (39009600).

Almost surely, 22070504480 is an apocalyptic number.

2070504480 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 2070504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744921600).

2070504480 is an abundant number, since it is smaller than the sum of its proper divisors (5419338720).

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

2070504480 is a wasteful number, since it uses less digits than its factorization.

2070504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20687 (or 20679 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2070504480 is about 45502.7963975842. The cubic root of 2070504480 is about 1274.5554220845. Note that the first 3 decimals are identical.

The spelling of 2070504480 in words is "two billion, seventy million, five hundred four thousand, four hundred eighty".