[go: up one dir, main page]

Search a number
-
+
1230432400 = 24521928521
BaseRepresentation
bin100100101010110…
…1110100010010000
310011202021102221101
41021111232202100
510004442314100
6322032234144
742330334321
oct11125564220
93152242841
101230432400
1158160208a
122a409b954
13167bbb212
14b95b2448
157304c86a
hex4956e890

1230432400 has 90 divisors (see below), whose sum is σ = 3120253602. Its totient is φ = 466214400.

The previous prime is 1230432383. The next prime is 1230432451. The reversal of 1230432400 is 42340321.

It can be written as a sum of positive squares in 3 ways, for example, as 71166096 + 1159266304 = 8436^2 + 34048^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 140140 + ... + 148660.

Almost surely, 21230432400 is an apocalyptic number.

1230432400 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 1230432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560126801).

1230432400 is an abundant number, since it is smaller than the sum of its proper divisors (1889821202).

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

1230432400 is a wasteful number, since it uses less digits than its factorization.

1230432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1230432400 is about 35077.5198667181. The cubic root of 1230432400 is about 1071.5668081532.

Adding to 1230432400 its reverse (42340321), we get a palindrome (1272772721).

The spelling of 1230432400 in words is "one billion, two hundred thirty million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 722 760 950 1444 1520 1805 1900 2888 3610 3800 5776 7220 7600 8521 9025 14440 17042 18050 28880 34084 36100 42605 68168 72200 85210 136336 144400 161899 170420 213025 323798 340840 426050 647596 681680 809495 852100 1295192 1618990 1704200 2590384 3076081 3237980 3408400 4047475 6152162 6475960 8094950 12304324 12951920 15380405 16189900 24608648 30760810 32379800 49217296 61521620 64759600 76902025 123043240 153804050 246086480 307608100 615216200 1230432400