Search a number
-
+
1029979804 = 2272371091303
BaseRepresentation
bin111101011001000…
…011111010011100
32122210002101200011
4331121003322130
54102133323204
6250112013004
734344453400
oct7531037234
92583071604
101029979804
11489440087
12248b31164
13135505c09
149ab13100
1560654304
hex3d643e9c

1029979804 has 72 divisors (see below), whose sum is σ = 2174837280. Its totient is φ = 425222784.

The previous prime is 1029979777. The next prime is 1029979861. The reversal of 1029979804 is 4089799201.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789817 + ... + 791119.

Almost surely, 21029979804 is an apocalyptic number.

1029979804 is a gapful number since it is divisible by the number (14) 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 1029979804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087418640).

1029979804 is an abundant number, since it is smaller than the sum of its proper divisors (1144857476).

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

1029979804 is a wasteful number, since it uses less digits than its factorization.

1029979804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The square root of 1029979804 is about 32093.2984281766. The cubic root of 1029979804 is about 1009.8950333682.

The spelling of 1029979804 in words is "one billion, twenty-nine million, nine hundred seventy-nine thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 37 49 74 98 109 148 196 218 259 436 518 763 1036 1303 1526 1813 2606 3052 3626 4033 5212 5341 7252 8066 9121 10682 16132 18242 21364 28231 36484 48211 56462 63847 96422 112924 127694 142027 192844 197617 255388 284054 337477 395234 568108 674954 790468 994189 1349908 1988378 2362339 3976756 4724678 5254999 6959323 9449356 10509998 13918646 21019996 27837292 36784993 73569986 147139972 257494951 514989902 1029979804