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1970480000 = 275424631
BaseRepresentation
bin111010101110011…
…0010001110000000
312002022210202101202
41311130302032000
513013420330000
6523310120332
766554542436
oct16534621600
95068722352
101970480000
11921314875
1246bab00a8
1325530c9c8
141499b2d56
15b7ed0dd5
hex75732380

1970480000 has 80 divisors (see below), whose sum is σ = 4905585960. Its totient is φ = 788160000.

The previous prime is 1970479997. The next prime is 1970480027. The reversal of 1970480000 is 840791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 67685 + ... + 92315.

Almost surely, 21970480000 is an apocalyptic number.

1970480000 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 1970480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452792980).

1970480000 is an abundant number, since it is smaller than the sum of its proper divisors (2935105960).

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

1970480000 is an frugal number, since it uses more digits than its factorization.

1970480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24665 (or 24638 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1970480000 is about 44390.0889839162. The cubic root of 1970480000 is about 1253.6914876039.

The spelling of 1970480000 in words is "one billion, nine hundred seventy million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 24631 40000 49262 80000 98524 123155 197048 246310 394096 492620 615775 788192 985240 1231550 1576384 1970480 2463100 3078875 3152768 3940960 4926200 6157750 7881920 9852400 12315500 15394375 15763840 19704800 24631000 30788750 39409600 49262000 61577500 78819200 98524000 123155000 197048000 246310000 394096000 492620000 985240000 1970480000