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132030330 = 235172979113
BaseRepresentation
bin1111101111010…
…01111101111010
3100012102211120020
413313221331322
5232244432310
621033511310
73162145035
oct767517572
9305384506
10132030330
1168589383
1238272536
1321479973
141376c01c
15b8d0170
hex7de9f7a

132030330 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 31309824.

The previous prime is 132030329. The next prime is 132030337. The reversal of 132030330 is 33030231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132030337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168354 + ... + 1168466.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2132030330 is an apocalyptic number.

132030330 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 132030330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

132030330 is an abundant number, since it is smaller than the sum of its proper divisors (222555270).

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

132030330 is a wasteful number, since it uses less digits than its factorization.

132030330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 132030330 is about 11490.4451610893. The cubic root of 132030330 is about 509.2033313389.

Adding to 132030330 its reverse (33030231), we get a palindrome (165060561).

Subtracting from 132030330 its reverse (33030231), we obtain a palindrome (99000099).

The spelling of 132030330 in words is "one hundred thirty-two million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 79 85 87 102 113 145 158 170 174 226 237 255 290 339 395 435 474 493 510 565 678 790 870 986 1130 1185 1343 1479 1695 1921 2291 2370 2465 2686 2958 3277 3390 3842 4029 4582 4930 5763 6554 6715 6873 7395 8058 8927 9605 9831 11455 11526 13430 13746 14790 16385 17854 19210 19662 20145 22910 26781 28815 32770 34365 38947 40290 44635 49155 53562 55709 57630 68730 77894 89270 98310 111418 116841 133905 151759 167127 194735 233682 258883 267810 278545 303518 334254 389470 455277 517766 557090 584205 758795 776649 835635 910554 1168410 1294415 1517590 1553298 1671270 2276385 2588830 3883245 4401011 4552770 7766490 8802022 13203033 22005055 26406066 44010110 66015165 132030330