[go: up one dir, main page]

Search a number
-
+
135323928 = 233219313191
BaseRepresentation
bin10000001000011…
…10000100011000
3100102122011112100
420010032010120
5234120331203
621232243400
73232143255
oct1004160430
9312564470
10135323928
116a428963
12393a0560
1322060b3c
1413d8842c
15bd30ea3
hex810e118

135323928 has 96 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 41342400.

The previous prime is 135323921. The next prime is 135323933. The reversal of 135323928 is 829323531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135323892 and 135323901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135323921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40813 + ... + 44003.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2135323928 is an apocalyptic number.

135323928 is a gapful number since it is divisible by the number (18) 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 135323928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

135323928 is an abundant number, since it is smaller than the sum of its proper divisors (263037672).

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

135323928 is a wasteful number, since it uses less digits than its factorization.

135323928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3246 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 135323928 is about 11632.8813283726. The cubic root of 135323928 is about 513.4027592988.

It can be divided in two parts, 1353 and 23928, that added together give a square (25281 = 1592).

The spelling of 135323928 in words is "one hundred thirty-five million, three hundred twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3191 3534 4712 5301 6382 7068 9573 10602 12764 14136 19146 21204 25528 28719 38292 42408 57438 60629 76584 98921 114876 121258 181887 197842 229752 242516 296763 363774 395684 485032 545661 593526 727548 791368 890289 1091322 1187052 1455096 1780578 1879499 2182644 2374104 3561156 3758998 4365288 5638497 7122312 7517996 11276994 15035992 16915491 22553988 33830982 45107976 67661964 135323928