Search a number
-
+
1076233140 = 2232527122063
BaseRepresentation
bin100000000100110…
…0000001110110100
32210000010022022200
41000021200032310
54201003430030
6254443224500
735445554643
oct10011401664
92700108280
101076233140
11502561984
12260518130
13141c7bb58
14a2d1335a
156473dd60
hex402603b4

1076233140 has 72 divisors (see below), whose sum is σ = 3276768768. Its totient is φ = 285923520.

The previous prime is 1076233129. The next prime is 1076233153. The reversal of 1076233140 is 413326701.

1076233140 is a `hidden beast` number, since 1 + 0 + 7 + 623 + 31 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37749 + ... + 59811.

Almost surely, 21076233140 is an apocalyptic number.

1076233140 is a gapful number since it is divisible by the number (10) 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 1076233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638384384).

1076233140 is an abundant number, since it is smaller than the sum of its proper divisors (2200535628).

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

1076233140 is a wasteful number, since it uses less digits than its factorization.

1076233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22349 (or 22344 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1076233140 is about 32805.9924404064. The cubic root of 1076233140 is about 1024.7913563030.

Adding to 1076233140 its reverse (413326701), we get a palindrome (1489559841).

The spelling of 1076233140 in words is "one billion, seventy-six million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 542 813 1084 1355 1626 2439 2710 3252 4065 4878 5420 8130 9756 12195 16260 22063 24390 44126 48780 66189 88252 110315 132378 198567 220630 264756 330945 397134 441260 661890 794268 992835 1323780 1985670 3971340 5979073 11958146 17937219 23916292 29895365 35874438 53811657 59790730 71748876 89686095 107623314 119581460 179372190 215246628 269058285 358744380 538116570 1076233140