Search a number
-
+
403028136 = 2335724231
BaseRepresentation
bin11000000001011…
…011100010101000
31001002100221200000
4120001123202220
51311133400021
6103554143000
712662453100
oct3001334250
91032327600
10403028136
11197554005
12b2b81a60
13656619b4
143b752200
15255b0b26
hex1805b8a8

403028136 has 144 divisors (see below), whose sum is σ = 1317083040. Its totient is φ = 115123680.

The previous prime is 403028099. The next prime is 403028147. The reversal of 403028136 is 631820304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93141 + ... + 97371.

It is an arithmetic number, because the mean of its divisors is an integer number (9146410).

Almost surely, 2403028136 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 403028136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658541520).

403028136 is an abundant number, since it is smaller than the sum of its proper divisors (914054904).

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

403028136 is a wasteful number, since it uses less digits than its factorization.

403028136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 403028136 is about 20075.5606646489. The cubic root of 403028136 is about 738.6609189400.

The spelling of 403028136 in words is "four hundred three million, twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4231 4536 5292 6804 7938 8462 10584 11907 12693 13608 15876 16924 23814 25386 29617 31752 33848 38079 47628 50772 59234 76158 88851 95256 101544 114237 118468 152316 177702 207319 228474 236936 266553 304632 342711 355404 414638 456948 533106 621957 685422 710808 799659 829276 913896 1028133 1066212 1243914 1370844 1599318 1658552 1865871 2056266 2132424 2398977 2487828 2741688 3198636 3731742 4112532 4797954 4975656 5597613 6397272 7196931 7463484 8225064 9595908 11195226 14393862 14926968 16792839 19191816 22390452 28787724 33585678 44780904 50378517 57575448 67171356 100757034 134342712 201514068 403028136