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2132435430 = 2335371131889
BaseRepresentation
bin111111100011010…
…0110000111100110
312111121112221111000
41333012212013212
513331400413210
6551333254130
7103562254626
oct17706460746
95447487430
102132435430
119a4782334
124b6194346
1327ca36518
141632d0886
15c7322ac0
hex7f1a61e6

2132435430 has 128 divisors (see below), whose sum is σ = 5894985600. Its totient is φ = 548093952.

The previous prime is 2132435429. The next prime is 2132435441. The reversal of 2132435430 is 345342312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2132435394 and 2132435403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127926 + ... + 1129814.

It is an arithmetic number, because the mean of its divisors is an integer number (46054575).

Almost surely, 22132435430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132435430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947492800).

2132435430 is an abundant number, since it is smaller than the sum of its proper divisors (3762550170).

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

2132435430 is a wasteful number, since it uses less digits than its factorization.

2132435430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2132435430 is about 46178.3004234673. The cubic root of 2132435430 is about 1287.1385466010.

Adding to 2132435430 its reverse (345342312), we get a palindrome (2477777742).

The spelling of 2132435430 in words is "two billion, one hundred thirty-two million, four hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 113 135 185 222 226 270 333 339 370 555 565 666 678 999 1017 1110 1130 1665 1695 1889 1998 2034 3051 3330 3390 3778 4181 4995 5085 5667 6102 8362 9445 9990 10170 11334 12543 15255 17001 18890 20905 25086 28335 30510 34002 37629 41810 51003 56670 62715 69893 75258 85005 102006 112887 125430 139786 170010 188145 209679 213457 225774 255015 349465 376290 419358 426914 510030 564435 629037 640371 698930 1048395 1067285 1128870 1258074 1280742 1887111 1921113 2096790 2134570 3145185 3201855 3774222 3842226 5763339 6290370 6403710 7897909 9435555 9605565 11526678 15795818 18871110 19211130 23693727 28816695 39489545 47387454 57633390 71081181 78979090 118468635 142162362 213243543 236937270 355405905 426487086 710811810 1066217715 2132435430