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132857940 = 22353171429
BaseRepresentation
bin1111110101101…
…00000001010100
3100020222212211110
413322310001110
5233002423230
621103335020
73202162635
oct772640124
9306885743
10132857940
1168aa4156
12385b1470
13216a9587
141390588c
15b9e54b0
hex7eb4054

132857940 has 48 divisors (see below), whose sum is σ = 384007680. Its totient is φ = 34285440.

The previous prime is 132857927. The next prime is 132857947. The reversal of 132857940 is 49758231.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132857947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33855 + ... + 37574.

It is an arithmetic number, because the mean of its divisors is an integer number (8000160).

Almost surely, 2132857940 is an apocalyptic number.

132857940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132857940 is an abundant number, since it is smaller than the sum of its proper divisors (251149740).

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

132857940 is a wasteful number, since it uses less digits than its factorization.

132857940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71472 (or 71470 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 132857940 is about 11526.4018670182. The cubic root of 132857940 is about 510.2650678996.

The spelling of 132857940 in words is "one hundred thirty-two million, eight hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 71429 142858 214287 285716 357145 428574 714290 857148 1071435 1428580 2142870 2214299 4285740 4428598 6642897 8857196 11071495 13285794 22142990 26571588 33214485 44285980 66428970 132857940