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816069030 = 23573711117
BaseRepresentation
bin110000101001000…
…011100110100110
32002212120121020220
4300221003212212
53132403202110
6212551105210
726136321000
oct6051034646
92085517226
10816069030
11389716817
121a9372206
131000bacaa
147a54d370
154b99d370
hex30a439a6

816069030 has 128 divisors (see below), whose sum is σ = 2318284800. Its totient is φ = 183738240.

The previous prime is 816069029. The next prime is 816069053. The reversal of 816069030 is 30960618.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 816068982 and 816069000.

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 63 ways as a sum of consecutive naturals, for example, 730032 + ... + 731148.

It is an arithmetic number, because the mean of its divisors is an integer number (18111600).

Almost surely, 2816069030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816069030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159142400).

816069030 is an abundant number, since it is smaller than the sum of its proper divisors (1502215770).

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

816069030 is a wasteful number, since it uses less digits than its factorization.

816069030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 816069030 is about 28566.9219552965. The cubic root of 816069030 is about 934.4920954879.

The spelling of 816069030 in words is "eight hundred sixteen million, sixty-nine thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 71 98 105 142 147 210 213 245 294 343 355 426 490 497 686 710 735 994 1029 1065 1117 1470 1491 1715 2058 2130 2234 2485 2982 3351 3430 3479 4970 5145 5585 6702 6958 7455 7819 10290 10437 11170 14910 15638 16755 17395 20874 23457 24353 33510 34790 39095 46914 48706 52185 54733 73059 78190 79307 104370 109466 117285 121765 146118 158614 164199 234570 237921 243530 273665 328398 365295 383131 396535 475842 547330 555149 730590 766262 793070 820995 1110298 1149393 1189605 1641990 1665447 1915655 2298786 2379210 2775745 3330894 3831310 3886043 5551490 5746965 7772086 8327235 11493930 11658129 16654470 19430215 23316258 27202301 38860430 54404602 58290645 81606903 116581290 136011505 163213806 272023010 408034515 816069030