Search a number
-
+
1142400204 = 22321121715427
BaseRepresentation
bin100010000010111…
…1010010011001100
32221121121221110200
41010011322103030
54314423301304
6305205333500
740211145561
oct10405722314
92847557420
101142400204
11536945200
1227a707290
131528a7b6a
14aba18868
156a45de39
hex4417a4cc

1142400204 has 108 divisors (see below), whose sum is σ = 3361051512. Its totient is φ = 325797120.

The previous prime is 1142400191. The next prime is 1142400211. The reversal of 1142400204 is 4020042411.

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

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 35 ways as a sum of consecutive naturals, for example, 66339 + ... + 81765.

Almost surely, 21142400204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142400204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680525756).

1142400204 is an abundant number, since it is smaller than the sum of its proper divisors (2218651308).

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

1142400204 is a wasteful number, since it uses less digits than its factorization.

1142400204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15476 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1142400204 is about 33799.4112966483. The cubic root of 1142400204 is about 1045.3765586608.

Adding to 1142400204 its reverse (4020042411), we get a palindrome (5162442615).

The spelling of 1142400204 in words is "one billion, one hundred forty-two million, four hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 6171 6732 8228 12342 15427 18513 24684 30854 37026 46281 61708 74052 92562 138843 169697 185124 262259 277686 339394 509091 524518 555372 678788 786777 1018182 1049036 1527273 1573554 1866667 2036364 2360331 2884849 3054546 3147108 3733334 4720662 5600001 5769698 6109092 7466668 8654547 9441324 11200002 11539396 16800003 17309094 22400004 25963641 31733339 33600006 34618188 51927282 63466678 67200012 95200017 103854564 126933356 190400034 285600051 380800068 571200102 1142400204