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1970426960 = 24531978191
BaseRepresentation
bin111010101110010…
…0101010001010000
312002022201001122022
41311130211101100
513013412130320
6523305031012
766554232005
oct16534452120
95068631568
101970426960
11921288a37
1246ba85468
132552c1818
1414999b8ac
15b7ec0325
hex75725450

1970426960 has 80 divisors (see below), whose sum is σ = 4778360832. Its totient is φ = 754790400.

The previous prime is 1970426917. The next prime is 1970426963. The reversal of 1970426960 is 696240791.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970426963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236465 + ... + 244655.

Almost surely, 21970426960 is an apocalyptic number.

1970426960 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 1970426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389180416).

1970426960 is an abundant number, since it is smaller than the sum of its proper divisors (2807933872).

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

1970426960 is a wasteful number, since it uses less digits than its factorization.

1970426960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 1970426960 is about 44389.4915492394. The cubic root of 1970426960 is about 1253.6802388399.

It can be divided in two parts, 19704 and 26960, that added together give a palindrome (46664).

The spelling of 1970426960 in words is "one billion, nine hundred seventy million, four hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 310 388 485 496 620 776 970 1240 1552 1940 2480 3007 3880 6014 7760 8191 12028 15035 16382 24056 30070 32764 40955 48112 60140 65528 81910 120280 131056 163820 240560 253921 327640 507842 655280 794527 1015684 1269605 1589054 2031368 2539210 3178108 3972635 4062736 5078420 6356216 7945270 10156840 12712432 15890540 20313680 24630337 31781080 49260674 63562160 98521348 123151685 197042696 246303370 394085392 492606740 985213480 1970426960