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132420420 = 22355112477
BaseRepresentation
bin1111110010010…
…01001101000100
3100020011122200000
413321021031010
5232344423140
621050121300
73165361236
oct771111504
9306148600
10132420420
1168825470
1238420230
13215853a2
1413830256
15b95aa30
hex7e49344

132420420 has 144 divisors (see below), whose sum is σ = 454603968. Its totient is φ = 32088960.

The previous prime is 132420413. The next prime is 132420439. The reversal of 132420420 is 24024231.

132420420 is a `hidden beast` number, since 1 + 3 + 242 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132420393 and 132420402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52222 + ... + 54698.

It is an arithmetic number, because the mean of its divisors is an integer number (3156972).

Almost surely, 2132420420 is an apocalyptic number.

132420420 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 132420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227301984).

132420420 is an abundant number, since it is smaller than the sum of its proper divisors (322183548).

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

132420420 is a wasteful number, since it uses less digits than its factorization.

132420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 132420420 is about 11507.4071797256. The cubic root of 132420420 is about 509.7043268862.

Adding to 132420420 its reverse (24024231), we get a palindrome (156444651).

The spelling of 132420420 in words is "one hundred thirty-two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2477 2673 2970 3564 4455 4860 4954 5346 5940 7431 8910 9908 10692 12385 13365 14862 17820 22293 24770 26730 27247 29724 37155 44586 49540 53460 54494 66879 74310 81741 89172 108988 111465 133758 136235 148620 163482 200637 222930 245223 267516 272470 326964 334395 401274 408705 445860 490446 544940 601911 668790 735669 802548 817410 980892 1003185 1203822 1226115 1337580 1471338 1634820 2006370 2207007 2407644 2452230 2942676 3009555 3678345 4012740 4414014 4904460 6019110 6621021 7356690 8828028 11035035 12038220 13242042 14713380 22070070 26484084 33105105 44140140 66210210 132420420