Search a number
-
+
1102392852 = 22311233311097
BaseRepresentation
bin100000110110101…
…0010111000010100
32211211100100200220
41001231102320110
54224203032402
6301220034340
736214120221
oct10155227024
92754310626
101102392852
115162aa080
122692329b0
1314750ab82
14a65a2948
1566ba9dbc
hex41b52e14

1102392852 has 96 divisors (see below), whose sum is σ = 2939618304. Its totient is φ = 318278400.

The previous prime is 1102392827. The next prime is 1102392853. The reversal of 1102392852 is 2582932011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102392853) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1004368 + ... + 1005464.

It is an arithmetic number, because the mean of its divisors is an integer number (30621024).

Almost surely, 21102392852 is an apocalyptic number.

1102392852 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 1102392852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469809152).

1102392852 is an abundant number, since it is smaller than the sum of its proper divisors (1837225452).

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

1102392852 is a wasteful number, since it uses less digits than its factorization.

1102392852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1102392852 is about 33202.3019081509. The cubic root of 1102392852 is about 1033.0280865530.

The spelling of 1102392852 in words is "one billion, one hundred two million, three hundred ninety-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 331 506 662 759 993 1012 1097 1324 1518 1986 2194 3036 3291 3641 3972 4388 6582 7282 7613 10923 12067 13164 14564 15226 21846 22839 24134 25231 30452 36201 43692 45678 48268 50462 72402 75693 83743 91356 100924 144804 151386 167486 251229 277541 302772 334972 363107 502458 555082 726214 832623 1004916 1089321 1110164 1452428 1665246 2178642 3330492 3994177 4357284 7988354 8351461 11982531 15976708 16702922 23965062 25054383 33405844 47930124 50108766 91866071 100217532 183732142 275598213 367464284 551196426 1102392852