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132968944 = 2429535407
BaseRepresentation
bin1111110110011…
…11000111110000
3100021012112002201
413323033013300
5233020001234
621105552544
73203134363
oct773170760
9307175081
10132968944
116906a599
1238645754
1321717c64
14139340da
15ba18314
hex7ecf1f0

132968944 has 40 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 62969088.

The previous prime is 132968923. The next prime is 132968947. The reversal of 132968944 is 449869231.

It is a junction number, because it is equal to n+sod(n) for n = 132968894 and 132968903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132968947) 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 7 ways as a sum of consecutive naturals, for example, 21889 + ... + 27295.

It is an arithmetic number, because the mean of its divisors is an integer number (6789744).

Almost surely, 2132968944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132968944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

132968944 is an abundant number, since it is smaller than the sum of its proper divisors (138620816).

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

132968944 is a wasteful number, since it uses less digits than its factorization.

132968944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5491 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 132968944 is about 11531.2160677008. The cubic root of 132968944 is about 510.4071386861.

The spelling of 132968944 in words is "one hundred thirty-two million, nine hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 5407 6148 10814 12296 21628 24592 43256 86512 156803 286571 313606 573142 627212 1146284 1254424 2292568 2508848 4585136 8310559 16621118 33242236 66484472 132968944