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132340120 = 23511237739
BaseRepresentation
bin1111110001101…
…01100110011000
3100020000120111221
413320311212120
5232334340440
621044301424
73164605153
oct770654630
9306016457
10132340120
1168780100
12383a1874
1321557983
141380cc9a
15b941d4a
hex7e35998

132340120 has 96 divisors (see below), whose sum is σ = 336596400. Its totient is φ = 46759680.

The previous prime is 132340057. The next prime is 132340133. The reversal of 132340120 is 21043231.

It is a happy number.

It is a super-2 number, since 2×1323401202 = 35027814723228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132340094 and 132340103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178711 + ... + 179449.

Almost surely, 2132340120 is an apocalyptic number.

132340120 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 132340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168298200).

132340120 is an abundant number, since it is smaller than the sum of its proper divisors (204256280).

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

132340120 is a wasteful number, since it uses less digits than its factorization.

132340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132340120 is about 11503.9175935852. The cubic root of 132340120 is about 509.6012774888.

Adding to 132340120 its reverse (21043231), we get a palindrome (153383351).

The spelling of 132340120 in words is "one hundred thirty-two million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 121 148 185 220 242 296 370 407 440 484 605 739 740 814 968 1210 1478 1480 1628 2035 2420 2956 3256 3695 4070 4477 4840 5912 7390 8129 8140 8954 14780 16258 16280 17908 22385 27343 29560 32516 35816 40645 44770 54686 65032 81290 89419 89540 109372 136715 162580 178838 179080 218744 273430 300773 325160 357676 447095 546860 601546 715352 894190 1093720 1203092 1503865 1788380 2406184 3007730 3308503 3576760 6015460 6617006 12030920 13234012 16542515 26468024 33085030 66170060 132340120