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132351570 = 23451312569
BaseRepresentation
bin1111110001110…
…00011001010010
3100020001011020000
413320320121102
5232340222240
621044430430
73164653431
oct770703122
9306034200
10132351570
116878876a
12383a8416
132155cc50
1413813118
15b945430
hex7e38652

132351570 has 80 divisors (see below), whose sum is σ = 383284440. Its totient is φ = 32576256.

The previous prime is 132351559. The next prime is 132351581. The reversal of 132351570 is 75153231.

It is an interprime number because it is at equal distance from previous prime (132351559) and next prime (132351581).

It can be written as a sum of positive squares in 4 ways, for example, as 119968209 + 12383361 = 10953^2 + 3519^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4246 + ... + 16814.

Almost surely, 2132351570 is an apocalyptic number.

132351570 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 132351570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191642220).

132351570 is an abundant number, since it is smaller than the sum of its proper divisors (250932870).

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

132351570 is a wasteful number, since it uses less digits than its factorization.

132351570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 132351570 is about 11504.4152393766. The cubic root of 132351570 is about 509.6159738796.

The spelling of 132351570 in words is "one hundred thirty-two million, three hundred fifty-one thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 12569 25138 37707 62845 75414 113121 125690 163397 188535 226242 326794 339363 377070 490191 565605 678726 816985 980382 1018089 1131210 1470573 1633970 1696815 2036178 2450955 2941146 3393630 4411719 4901910 5090445 7352865 8823438 10180890 13235157 14705730 22058595 26470314 44117190 66175785 132351570