Search a number
-
+
1970749440 = 21437511
BaseRepresentation
bin111010101110111…
…0100000000000000
312002100022110000000
41311131310000000
513014002440230
6523320000000
766560044122
oct16535640000
95070273000
101970749440
11921489250
12470000000
132553a553a
14149a43212
15b8035b60
hex75774000

1970749440 has 480 divisors, whose sum is σ = 7738254720. Its totient is φ = 477757440.

The previous prime is 1970749421. The next prime is 1970749477. The reversal of 1970749440 is 449470791.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179159035 + ... + 179159045.

It is an arithmetic number, because the mean of its divisors is an integer number (16121364).

Almost surely, 21970749440 is an apocalyptic number.

1970749440 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 1970749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869127360).

1970749440 is an abundant number, since it is smaller than the sum of its proper divisors (5767505280).

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

1970749440 is an frugal number, since it uses more digits than its factorization.

1970749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1970749440 is about 44393.1237918667. The cubic root of 1970749440 is about 1253.7486275290.

The spelling of 1970749440 in words is "one billion, nine hundred seventy million, seven hundred forty-nine thousand, four hundred forty".