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132389520 = 2435619043
BaseRepresentation
bin1111110010000…
…01101010010000
3100020010002021120
413321001222100
5232342431040
621045322240
73165202164
oct771015220
9306102246
10132389520
116880422a
1238406380
13215742c3
1413822ca4
15b9517d0
hex7e41a90

132389520 has 80 divisors (see below), whose sum is σ = 417181632. Its totient is φ = 34721280.

The previous prime is 132389513. The next prime is 132389531. The reversal of 132389520 is 25983231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10119 + ... + 19161.

Almost surely, 2132389520 is an apocalyptic number.

132389520 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 132389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208590816).

132389520 is an abundant number, since it is smaller than the sum of its proper divisors (284792112).

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

132389520 is a wasteful number, since it uses less digits than its factorization.

132389520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 132389520 is about 11506.0644879125. The cubic root of 132389520 is about 509.6646776918.

The spelling of 132389520 in words is "one hundred thirty-two million, three hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 9043 14640 18086 27129 36172 45215 54258 72344 90430 108516 135645 144688 180860 217032 271290 361720 434064 542580 551623 723440 1085160 1103246 1654869 2170320 2206492 2758115 3309738 4412984 5516230 6619476 8274345 8825968 11032460 13238952 16548690 22064920 26477904 33097380 44129840 66194760 132389520