Search a number
-
+
132398112 = 25371117911
BaseRepresentation
bin1111110010000…
…11110000100000
3100020010112001210
413321003300200
5232343214422
621045430120
73165236220
oct771036040
9306115053
10132398112
116880a730
123840b340
13215781a2
1413826080
15b95410c
hex7e43c20

132398112 has 96 divisors (see below), whose sum is σ = 433327104. Its totient is φ = 34387200.

The previous prime is 132398093. The next prime is 132398131. The reversal of 132398112 is 211893231.

It is an interprime number because it is at equal distance from previous prime (132398093) and next prime (132398131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1323981122 = 35058520122329088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132398112.

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, 1564 + ... + 16347.

It is an arithmetic number, because the mean of its divisors is an integer number (4513824).

Almost surely, 2132398112 is an apocalyptic number.

132398112 is a gapful number since it is divisible by the number (12) 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 132398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216663552).

132398112 is an abundant number, since it is smaller than the sum of its proper divisors (300928992).

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

132398112 is a wasteful number, since it uses less digits than its factorization.

132398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17942 (or 17934 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 132398112 is about 11506.4378501776. The cubic root of 132398112 is about 509.6757030967.

The spelling of 132398112 in words is "one hundred thirty-two million, three hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 17911 35822 53733 71644 107466 125377 143288 197021 214932 250754 286576 376131 394042 429864 501508 573152 591063 752262 788084 859728 1003016 1182126 1379147 1504524 1576168 1719456 2006032 2364252 2758294 3009048 3152336 4012064 4137441 4728504 5516588 6018096 6304672 8274882 9457008 11033176 12036192 16549764 18914016 22066352 33099528 44132704 66199056 132398112