[go: up one dir, main page]

Search a number
-
+
1012320432 = 243228324841
BaseRepresentation
bin111100010101101…
…100100010110000
32121112212012120100
4330111230202300
54033123223212
6244241312400
734041403344
oct7425544260
92545765510
101012320432
1147a479362
12243035700
13131961c96
1498637624
155dd16bdc
hex3c56c8b0

1012320432 has 60 divisors (see below), whose sum is σ = 2843216584. Its totient is φ = 336234240.

The previous prime is 1012320431. The next prime is 1012320493. The reversal of 1012320432 is 2340232101.

1012320432 is a `hidden beast` number, since 1 + 0 + 1 + 232 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1012320431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28332 + ... + 53172.

Almost surely, 21012320432 is an apocalyptic number.

1012320432 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 1012320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421608292).

1012320432 is an abundant number, since it is smaller than the sum of its proper divisors (1830896152).

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

1012320432 is a wasteful number, since it uses less digits than its factorization.

1012320432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25138 (or 25129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1012320432 is about 31816.9833893787. The cubic root of 1012320432 is about 1004.0900592748.

Adding to 1012320432 its reverse (2340232101), we get a palindrome (3352552533).

The spelling of 1012320432 in words is "one billion, twelve million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 1132 1698 2264 2547 3396 4528 5094 6792 10188 13584 20376 24841 40752 49682 74523 99364 149046 198728 223569 298092 397456 447138 596184 894276 1192368 1788552 3577104 7030003 14060006 21090009 28120012 42180018 56240024 63270027 84360036 112480048 126540054 168720072 253080108 337440144 506160216 1012320432