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132934844 = 22724315773
BaseRepresentation
bin1111110110001…
…10110010111100
3100021010210022202
413323012302330
5233012403334
621105131032
73202633100
oct773066274
9307123282
10132934844
1169046a09
1238629a78
1321705593
1413925900
15ba0d17e
hex7ec6cbc

132934844 has 36 divisors (see below), whose sum is σ = 276928344. Its totient is φ = 55643616.

The previous prime is 132934843. The next prime is 132934859. The reversal of 132934844 is 448439231.

It is a junction number, because it is equal to n+sod(n) for n = 132934798 and 132934807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132934843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542 + ... + 16314.

It is an arithmetic number, because the mean of its divisors is an integer number (7692454).

Almost surely, 2132934844 is an apocalyptic number.

132934844 is a gapful number since it is divisible by the number (14) 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 132934844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138464172).

132934844 is an abundant number, since it is smaller than the sum of its proper divisors (143993500).

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

132934844 is a wasteful number, since it uses less digits than its factorization.

132934844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834 (or 15825 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 132934844 is about 11529.7373777550. The cubic root of 132934844 is about 510.3635035060.

The spelling of 132934844 in words is "one hundred thirty-two million, nine hundred thirty-four thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 2107 4214 8428 15773 31546 63092 110411 220822 441644 678239 772877 1356478 1545754 2712956 3091508 4747673 9495346 18990692 33233711 66467422 132934844