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132871700 = 225213179571
BaseRepresentation
bin1111110101101…
…11011000010100
3100021000120201002
413322313120110
5233003343300
621103522432
73202251023
oct772673024
9307016632
10132871700
1169003525
12385b9418
13216b2910
141390a8ba
15b9e95d5
hex7eb7614

132871700 has 72 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 48700800.

The previous prime is 132871681. The next prime is 132871709. The reversal of 132871700 is 7178231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132871709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232415 + ... + 232985.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2132871700 is an apocalyptic number.

132871700 is a gapful number since it is divisible by the number (10) 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 132871700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

132871700 is an abundant number, since it is smaller than the sum of its proper divisors (179920780).

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

132871700 is a wasteful number, since it uses less digits than its factorization.

132871700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 132871700 is about 11526.9987420837. The cubic root of 132871700 is about 510.2826832185.

Adding to 132871700 its sum of digits (29), we get a square (132871729 = 115272).

It can be divided in two parts, 13 and 2871700, that multiplied together give a square (37332100 = 61102).

The spelling of 132871700 in words is "one hundred thirty-two million, eight hundred seventy-one thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 179 260 325 358 571 650 716 895 1142 1300 1790 2284 2327 2855 3580 4475 4654 5710 7423 8950 9308 11420 11635 14275 14846 17900 23270 28550 29692 37115 46540 57100 58175 74230 102209 116350 148460 185575 204418 232700 371150 408836 511045 742300 1022090 1328717 2044180 2555225 2657434 5110450 5314868 6643585 10220900 13287170 26574340 33217925 66435850 132871700