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200060424 = 233219243179
BaseRepresentation
bin10111110110010…
…10111000001000
3111221110010022100
423323022320020
5402203413144
631503553400
74646325354
oct1373127010
9457403270
10200060424
11a2a243a3
1256bbb860
13325a8965
141c7da464
151286c269
hexbecae08

200060424 has 144 divisors (see below), whose sum is σ = 588416400. Its totient is φ = 61363008.

The previous prime is 200060407. The next prime is 200060429. The reversal of 200060424 is 424060002.

200060424 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 200060397 and 200060406.

It is not an unprimeable number, because it can be changed into a prime (200060429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1117567 + ... + 1117745.

It is an arithmetic number, because the mean of its divisors is an integer number (4086225).

Almost surely, 2200060424 is an apocalyptic number.

200060424 is a gapful number since it is divisible by the number (24) 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 200060424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294208200).

200060424 is an abundant number, since it is smaller than the sum of its proper divisors (388355976).

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

200060424 is a wasteful number, since it uses less digits than its factorization.

200060424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200060424 is about 14144.2717734071. The cubic root of 200060424 is about 584.8624353285.

The spelling of 200060424 in words is "two hundred million, sixty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 43 57 72 76 86 114 129 152 171 172 179 228 258 342 344 358 361 387 456 516 537 684 716 722 774 817 1032 1074 1083 1368 1432 1444 1548 1611 1634 2148 2166 2451 2888 3096 3222 3249 3268 3401 4296 4332 4902 6444 6498 6536 6802 7353 7697 8664 9804 10203 12888 12996 13604 14706 15394 15523 19608 20406 23091 25992 27208 29412 30609 30788 31046 40812 46182 46569 58824 61218 61576 62092 64619 69273 81624 92364 93138 122436 124184 129238 138546 139707 146243 184728 186276 193857 244872 258476 277092 279414 292486 372552 387714 438729 516952 554184 558828 581571 584972 775428 877458 1117656 1163142 1169944 1316187 1550856 1754916 2326284 2632374 2778617 3509832 4652568 5264748 5557234 8335851 10529496 11114468 16671702 22228936 25007553 33343404 50015106 66686808 100030212 200060424