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132023430 = 232571119051
BaseRepresentation
bin1111101111010…
…00010010000110
3100012102111002200
413313220102012
5232244222210
621033415330
73162115650
oct767502206
9305374080
10132023430
1168584180
123826a546
1321476796
14137696d0
15b8cd0c0
hex7de8486

132023430 has 96 divisors (see below), whose sum is σ = 427984128. Its totient is φ = 27432000.

The previous prime is 132023429. The next prime is 132023447. The reversal of 132023430 is 34320231.

132023430 is a `hidden beast` number, since 1 + 320 + 2 + 343 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2596 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (4458168).

Almost surely, 2132023430 is an apocalyptic number.

132023430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132023430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213992064).

132023430 is an abundant number, since it is smaller than the sum of its proper divisors (295960698).

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

132023430 is a wasteful number, since it uses less digits than its factorization.

132023430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19082 (or 19079 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132023430 is about 11490.1449077024. The cubic root of 132023430 is about 509.1944607403.

Adding to 132023430 its reverse (34320231), we get a palindrome (166343661).

The spelling of 132023430 in words is "one hundred thirty-two million, twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 19051 38102 57153 95255 114306 133357 171459 190510 209561 266714 285765 342918 400071 419122 571530 628683 666785 800142 857295 1047805 1200213 1257366 1333570 1466927 1714590 1886049 2000355 2095610 2400426 2933854 3143415 3772098 4000710 4400781 6001065 6286830 7334635 8801562 9430245 12002130 13202343 14669270 18860490 22003905 26404686 44007810 66011715 132023430