Search a number
-
+
2070763002 = 2337112359367
BaseRepresentation
bin111101101101101…
…0101010111111010
312100022111122211000
41323123111113322
513220103404002
6541251345430
7102213123630
oct17333252772
95308448730
102070763002
11972989990
124995b2276
13270022269
14159039350
15c1bde61c
hex7b6d55fa

2070763002 has 256 divisors, whose sum is σ = 6104678400. Its totient is φ = 504377280.

The previous prime is 2070762983. The next prime is 2070763003. The reversal of 2070763002 is 2003670702.

2070763002 is a `hidden beast` number, since 20 + 7 + 0 + 7 + 630 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2070763003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5642223 + ... + 5642589.

It is an arithmetic number, because the mean of its divisors is an integer number (23846400).

Almost surely, 22070763002 is an apocalyptic number.

2070763002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070763002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052339200).

2070763002 is an abundant number, since it is smaller than the sum of its proper divisors (4033915398).

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

2070763002 is a wasteful number, since it uses less digits than its factorization.

2070763002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2070763002 is about 45505.6370354267. The cubic root of 2070763002 is about 1274.6084666295.

The spelling of 2070763002 in words is "two billion, seventy million, seven hundred sixty-three thousand, two".