Search a number
-
+
145692096 = 26311101683
BaseRepresentation
bin10001010111100…
…01010111000000
3101011010220222120
420223301113000
5244244121341
622242404240
73416235204
oct1053612700
9334126876
10145692096
117526a6a0
1240960680
1324251154
14154c6b04
15cbcd066
hex8af15c0

145692096 has 112 divisors (see below), whose sum is σ = 425305728. Its totient is φ = 43648000.

The previous prime is 145692083. The next prime is 145692101. The reversal of 145692096 is 690296541.

It is a happy number.

145692096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 212971 + ... + 213653.

Almost surely, 2145692096 is an apocalyptic number.

145692096 is a gapful number since it is divisible by the number (16) 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 145692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212652864).

145692096 is an abundant number, since it is smaller than the sum of its proper divisors (279613632).

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

145692096 is a wasteful number, since it uses less digits than its factorization.

145692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 145692096 is about 12070.2980907681. The cubic root of 145692096 is about 526.1933200070.

The spelling of 145692096 in words is "one hundred forty-five million, six hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 132 176 192 202 264 303 352 404 528 606 683 704 808 1056 1111 1212 1366 1616 2049 2112 2222 2424 2732 3232 3333 4098 4444 4848 5464 6464 6666 7513 8196 8888 9696 10928 13332 15026 16392 17776 19392 21856 22539 26664 30052 32784 35552 43712 45078 53328 60104 65568 68983 71104 90156 106656 120208 131136 137966 180312 206949 213312 240416 275932 360624 413898 480832 551864 721248 758813 827796 1103728 1442496 1517626 1655592 2207456 2276439 3035252 3311184 4414912 4552878 6070504 6622368 9105756 12141008 13244736 18211512 24282016 36423024 48564032 72846048 145692096