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1972642734 = 234475092
BaseRepresentation
bin111010110010100…
…0010001110101110
312002110212122010000
41311211002032232
513014444031414
6523424325130
766612120666
oct16545021656
95073778100
101972642734
11922561757
124707737a6
132558b922a
14149db71a6
15b82abb09
hex759423ae

1972642734 has 60 divisors (see below), whose sum is σ = 4523113584. Its totient is φ = 642292848.

The previous prime is 1972642697. The next prime is 1972642751. The reversal of 1972642734 is 4372462791.

1972642734 is a `hidden beast` number, since 197 + 2 + 6 + 427 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1972642734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3875272 + ... + 3875780.

Almost surely, 21972642734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972642734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261556792).

1972642734 is an abundant number, since it is smaller than the sum of its proper divisors (2550470850).

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

1972642734 is an frugal number, since it uses more digits than its factorization.

1972642734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 561 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 1972642734 is about 44414.4428536484. The cubic root of 1972642734 is about 1254.1499900717.

The spelling of 1972642734 in words is "one billion, nine hundred seventy-two million, six hundred forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 509 846 1018 1269 1527 2538 3054 3807 4581 7614 9162 13743 23923 27486 41229 47846 71769 82458 143538 215307 259081 430614 518162 645921 777243 1291842 1554486 1937763 2331729 3875526 4663458 6995187 12176807 13990374 20985561 24353614 36530421 41971122 73060842 109591263 219182526 328773789 657547578 986321367 1972642734