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132020010 = 23353115773
BaseRepresentation
bin1111101111001…
…11011100101010
3100012102022102000
413313213130222
5232244120020
621033351430
73162102663
oct767473452
9305368360
10132020010
1168581651
1238268576
1321475065
141376836a
15b8cc090
hex7de772a

132020010 has 64 divisors (see below), whose sum is σ = 363432960. Its totient is φ = 34067520.

The previous prime is 132019997. The next prime is 132020071. The reversal of 132020010 is 10020231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 132019974 and 132020001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484 + ... + 16256.

It is an arithmetic number, because the mean of its divisors is an integer number (5678640).

Almost surely, 2132020010 is an apocalyptic number.

132020010 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 132020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181716480).

132020010 is an abundant number, since it is smaller than the sum of its proper divisors (231412950).

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

132020010 is a wasteful number, since it uses less digits than its factorization.

132020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132020010 is about 11489.9960835502. The cubic root of 132020010 is about 509.1900638942.

Adding to 132020010 its reverse (10020231), we get a palindrome (142040241).

The spelling of 132020010 in words is "one hundred thirty-two million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 15773 31546 47319 78865 94638 141957 157730 236595 283914 425871 473190 488963 709785 851742 977926 1419570 1466889 2129355 2444815 2933778 4258710 4400667 4889630 7334445 8801334 13202001 14668890 22003335 26404002 44006670 66010005 132020010