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1355403132 = 223417534643
BaseRepresentation
bin101000011001001…
…1100111101111100
310111110102121120000
41100302130331330
510233440400012
6342254554300
745405510426
oct12062347574
93443377500
101355403132
116360a9486
12319b08990
13187a657b5
14cc023816
157ded5ddc
hex50c9cf7c

1355403132 has 120 divisors (see below), whose sum is σ = 3823330896. Its totient is φ = 417111552.

The previous prime is 1355403121. The next prime is 1355403151. The reversal of 1355403132 is 2313045531.

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

It is a junction number, because it is equal to n+sod(n) for n = 1355403096 and 1355403105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 289603 + ... + 294245.

Almost surely, 21355403132 is an apocalyptic number.

1355403132 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 1355403132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911665448).

1355403132 is an abundant number, since it is smaller than the sum of its proper divisors (2467927764).

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

1355403132 is a wasteful number, since it uses less digits than its factorization.

1355403132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1355403132 is about 36815.8000320515. The cubic root of 1355403132 is about 1106.6819541525.

Adding to 1355403132 its reverse (2313045531), we get a palindrome (3668448663).

The spelling of 1355403132 in words is "one billion, three hundred fifty-five million, four hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 81 102 106 108 153 159 162 204 212 306 318 324 459 477 612 636 901 918 954 1377 1431 1802 1836 1908 2703 2754 2862 3604 4293 4643 5406 5508 5724 8109 8586 9286 10812 13929 16218 17172 18572 24327 27858 32436 41787 48654 55716 72981 78931 83574 97308 125361 145962 157862 167148 236793 246079 250722 291924 315724 376083 473586 492158 501444 710379 738237 752166 947172 984316 1420758 1476474 1504332 2131137 2214711 2841516 2952948 4183343 4262274 4429422 6393411 6644133 8366686 8524548 8858844 12550029 12786822 13288266 16733372 19932399 25100058 25573644 26576532 37650087 39864798 50200116 75300174 79729596 112950261 150600348 225900522 338850783 451801044 677701566 1355403132