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1970080 = 25571759
BaseRepresentation
bin111100000111110100000
310201002102221
413200332200
51001020310
6110120424
722513450
oct7407640
93632387
101970080
111126172
127b0114
1353c938
14393d60
1528dada
hex1e0fa0

1970080 has 48 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 675072.

The previous prime is 1970071. The next prime is 1970083. The reversal of 1970080 is 800791.

It is not an unprimeable number, because it can be changed into a prime (1970083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 1999.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

21970080 is an apocalyptic number.

1970080 is a gapful number since it is divisible by the number (10) 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 1970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

1970080 is an abundant number, since it is smaller than the sum of its proper divisors (3352160).

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

1970080 is a wasteful number, since it uses less digits than its factorization.

1970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 1970080 is about 1403.5953832925. The cubic root of 1970080 is about 125.3606650317.

The spelling of 1970080 in words is "one million, nine hundred seventy thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1759 3518 7036 8795 12313 14072 17590 24626 28144 35180 49252 56288 61565 70360 98504 123130 140720 197008 246260 281440 394016 492520 985040 1970080