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206614380 = 223572312267
BaseRepresentation
bin11000101000010…
…10111101101100
3112101210002122110
430110022331230
5410343130010
632300244020
75056123200
oct1424127554
9471702573
10206614380
11a66a0495
1259240610
1333a61b3b
141d624b00
1513214120
hexc50af6c

206614380 has 144 divisors (see below), whose sum is σ = 694987776. Its totient is φ = 45682560.

The previous prime is 206614367. The next prime is 206614391. The reversal of 206614380 is 83416602.

206614380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90007 + ... + 92273.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2206614380 is an apocalyptic number.

206614380 is a gapful number since it is divisible by the number (20) 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 206614380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888).

206614380 is an abundant number, since it is smaller than the sum of its proper divisors (488373396).

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

206614380 is a wasteful number, since it uses less digits than its factorization.

206614380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 206614380 is about 14374.0871014475. The cubic root of 206614380 is about 591.1806102238.

The spelling of 206614380 in words is "two hundred six million, six hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 980 1085 1302 1470 1519 1860 2170 2267 2604 2940 3038 3255 4340 4534 4557 6076 6510 6801 7595 9068 9114 11335 13020 13602 15190 15869 18228 22670 22785 27204 30380 31738 34005 45340 45570 47607 63476 68010 70277 79345 91140 95214 111083 136020 140554 158690 190428 210831 222166 238035 281108 317380 333249 351385 421662 444332 476070 491939 555415 666498 702770 843324 952140 983878 1054155 1110830 1332996 1405540 1475817 1666245 1967756 2108310 2221660 2459695 2951634 3332490 3443573 4216620 4919390 5903268 6664980 6887146 7379085 9838780 10330719 13774292 14758170 17217865 20661438 29516340 34435730 41322876 51653595 68871460 103307190 206614380