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2013894576 = 243767859
BaseRepresentation
bin111100000001001…
…1001011110110000
312012100111110000000
41320002121132300
513111024111301
6531500430000
7100622551521
oct17002313660
95170443000
102013894576
11943877891
12482548300
132613007c5
14151674848
15bbc09786
hex780997b0

2013894576 has 160 divisors (see below), whose sum is σ = 5946246400. Its totient is φ = 660508992.

The previous prime is 2013894523. The next prime is 2013894601. The reversal of 2013894576 is 6754983102.

2013894576 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2013894576 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2344035 + ... + 2344893.

It is an arithmetic number, because the mean of its divisors is an integer number (37164040).

It is a 1-persistent number, because it is pandigital, but 2⋅2013894576 = 4027789152 is not.

Almost surely, 22013894576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013894576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973123200).

2013894576 is an abundant number, since it is smaller than the sum of its proper divisors (3932351824).

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

2013894576 is an frugal number, since it uses more digits than its factorization.

2013894576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2013894576 is about 44876.4367569441. The cubic root of 2013894576 is about 1262.8319973329.

The spelling of 2013894576 in words is "two billion, thirteen million, eight hundred ninety-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 243 268 324 402 432 486 536 603 648 729 804 859 972 1072 1206 1296 1458 1608 1718 1809 1944 2187 2412 2577 2916 3216 3436 3618 3888 4374 4824 5154 5427 5832 6872 7236 7731 8748 9648 10308 10854 11664 13744 14472 15462 16281 17496 20616 21708 23193 28944 30924 32562 34992 41232 43416 46386 48843 57553 61848 65124 69579 86832 92772 97686 115106 123696 130248 139158 146529 172659 185544 195372 208737 230212 260496 278316 293058 345318 371088 390744 417474 460424 517977 556632 586116 626211 690636 781488 834948 920848 1035954 1113264 1172232 1252422 1381272 1553931 1669896 1878633 2071908 2344464 2504844 2762544 3107862 3339792 3757266 4143816 4661793 5009688 6215724 7514532 8287632 9323586 10019376 12431448 13985379 15029064 18647172 24862896 27970758 30058128 37294344 41956137 55941516 74588688 83912274 111883032 125868411 167824548 223766064 251736822 335649096 503473644 671298192 1006947288 2013894576