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13142388 = 2237331103
BaseRepresentation
bin110010001000…
…100101110100
3220201200222010
4302020211310
511331024023
61145404220
7216465000
oct62104564
926650863
1013142388
117467086
124499670
132951c7c
141a61700
151249093
hexc88974

13142388 has 96 divisors (see below), whose sum is σ = 37273600. Its totient is φ = 3598560.

The previous prime is 13142369. The next prime is 13142401. The reversal of 13142388 is 88324131.

It is a congruent number.

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, 127545 + ... + 127647.

Almost surely, 213142388 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 13142388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636800).

13142388 is an abundant number, since it is smaller than the sum of its proper divisors (24131212).

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

13142388 is a wasteful number, since it uses less digits than its factorization.

13142388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 13142388 is about 3625.2431642581. The cubic root of 13142388 is about 235.9888197327.

It can be divided in two parts, 13142 and 388, that added together give a triangular number (13530 = T164).

The spelling of 13142388 in words is "thirteen million, one hundred forty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 103 124 147 186 196 206 217 294 309 343 372 412 434 588 618 651 686 721 868 1029 1236 1302 1372 1442 1519 2058 2163 2604 2884 3038 3193 4116 4326 4557 5047 6076 6386 8652 9114 9579 10094 10633 12772 15141 18228 19158 20188 21266 22351 30282 31899 35329 38316 42532 44702 60564 63798 67053 70658 89404 105987 127596 134106 141316 156457 211974 268212 312914 423948 469371 625828 938742 1095199 1877484 2190398 3285597 4380796 6571194 13142388