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2070397000 = 235372293147
BaseRepresentation
bin111101101100111…
…1100000001001000
312100021211001202101
41323121330001020
513220010201000
6541235443144
7102210040600
oct17331740110
95307731671
102070397000
11972759a01
124994564b4
1326cc247a9
14158d81c00
15c1b6ae6a
hex7b67c048

2070397000 has 384 divisors, whose sum is σ = 6146150400. Its totient is φ = 649152000.

The previous prime is 2070396989. The next prime is 2070397001. The reversal of 2070397000 is 7930702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2070397000.

It is not an unprimeable number, because it can be changed into a prime (2070397001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44050977 + ... + 44051023.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 22070397000 is an apocalyptic number.

2070397000 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 2070397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073075200).

2070397000 is an abundant number, since it is smaller than the sum of its proper divisors (4075753400).

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

2070397000 is a wasteful number, since it uses less digits than its factorization.

2070397000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 2070397000 is about 45501.6153559409. The cubic root of 2070397000 is about 1274.5333676225.

The spelling of 2070397000 in words is "two billion, seventy million, three hundred ninety-seven thousand".