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132301428 = 22372331472
BaseRepresentation
bin1111110001011…
…00001001110100
3100012221121102220
413320230021310
5232332121203
621043402340
73164354310
oct770541164
9305847386
10132301428
1168754026
12383833b0
132154318c
14137dcb40
15b935653
hex7e2c274

132301428 has 144 divisors (see below), whose sum is σ = 388276224. Its totient is φ = 34246080.

The previous prime is 132301391. The next prime is 132301439. The reversal of 132301428 is 824103231.

It is a junction number, because it is equal to n+sod(n) for n = 132301398 and 132301407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2814901 + ... + 2814947.

Almost surely, 2132301428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132301428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194138112).

132301428 is an abundant number, since it is smaller than the sum of its proper divisors (255974796).

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

132301428 is a wasteful number, since it uses less digits than its factorization.

132301428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132301428 is about 11502.2357826642. The cubic root of 132301428 is about 509.5516089667.

Adding to 132301428 its reverse (824103231), we get a palindrome (956404659).

The spelling of 132301428 in words is "one hundred thirty-two million, three hundred one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 47 62 69 84 92 93 94 124 138 141 161 186 188 217 276 282 322 329 372 434 483 564 644 651 658 713 868 966 987 1081 1302 1316 1426 1457 1932 1974 2139 2162 2209 2604 2852 2914 3243 3948 4278 4324 4371 4418 4991 5828 6486 6627 7567 8556 8742 8836 9982 10199 12972 13254 14973 15134 15463 17484 19964 20398 22701 26508 29946 30268 30597 30926 33511 40796 45402 46389 50807 59892 61194 61852 67022 68479 90804 92778 100533 101614 122388 134044 136958 152421 185556 201066 203228 205437 234577 273916 304842 355649 402132 410874 469154 479353 609684 703731 711298 821748 938308 958706 1066947 1407462 1422596 1438059 1575017 1917412 2133894 2814924 2876118 3150034 4267788 4725051 5752236 6300068 9450102 11025119 18900204 22050238 33075357 44100476 66150714 132301428