Search a number
-
+
1123120464 = 243671791951
BaseRepresentation
bin100001011110001…
…0111010101010000
32220021100102122020
41002330113111100
54300004323324
6303240211440
736555236454
oct10274272520
92807312566
101123120464
11526a77034
12274169b80
1314b8b752b
14a923a664
1568901679
hex42f17550

1123120464 has 80 divisors (see below), whose sum is σ = 2962667520. Its totient is φ = 366537600.

The previous prime is 1123120451. The next prime is 1123120477. The reversal of 1123120464 is 4640213211.

It is an interprime number because it is at equal distance from previous prime (1123120451) and next prime (1123120477).

It is a super-2 number, since 2×11231204642 = 2522799153311150592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 574689 + ... + 576639.

It is an arithmetic number, because the mean of its divisors is an integer number (37033344).

Almost surely, 21123120464 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 1123120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481333760).

1123120464 is an abundant number, since it is smaller than the sum of its proper divisors (1839547056).

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

1123120464 is a wasteful number, since it uses less digits than its factorization.

1123120464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1123120464 is about 33512.9894816920. The cubic root of 1123120464 is about 1039.4623897923.

Adding to 1123120464 its reverse (4640213211), we get a palindrome (5763333675).

The spelling of 1123120464 in words is "one billion, one hundred twenty-three million, one hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 179 201 268 358 402 536 537 716 804 1072 1074 1432 1608 1951 2148 2864 3216 3902 4296 5853 7804 8592 11706 11993 15608 23412 23986 31216 35979 46824 47972 71958 93648 95944 130717 143916 191888 261434 287832 349229 392151 522868 575664 698458 784302 1045736 1047687 1396916 1568604 2091472 2095374 2793832 3137208 4190748 5587664 6274416 8381496 16762992 23398343 46796686 70195029 93593372 140390058 187186744 280780116 374373488 561560232 1123120464