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1285681104 = 2432311791609
BaseRepresentation
bin100110010100001…
…1110111111010000
310022121020100220200
41030220132333100
510113113243404
6331324335200
743601052261
oct11450367720
93277210820
101285681104
115aa808274
122ba6a4500
13176493666
14c2a74968
1577d12839
hex4ca1efd0

1285681104 has 120 divisors (see below), whose sum is σ = 3737260800. Its totient is φ = 412162560.

The previous prime is 1285681057. The next prime is 1285681109. The reversal of 1285681104 is 4011865821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285681109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798252 + ... + 799860.

It is an arithmetic number, because the mean of its divisors is an integer number (31143840).

Almost surely, 21285681104 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 1285681104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868630400).

1285681104 is an abundant number, since it is smaller than the sum of its proper divisors (2451579696).

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

1285681104 is a wasteful number, since it uses less digits than its factorization.

1285681104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1285681104 is about 35856.3955801472. The cubic root of 1285681104 is about 1087.3710185515.

The spelling of 1285681104 in words is "one billion, two hundred eighty-five million, six hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 179 186 248 279 358 372 496 537 558 716 744 1074 1116 1432 1488 1609 1611 2148 2232 2864 3218 3222 4296 4464 4827 5549 6436 6444 8592 9654 11098 12872 12888 14481 16647 19308 22196 25744 25776 28962 33294 38616 44392 49879 49941 57924 66588 77232 88784 99758 99882 115848 133176 149637 199516 199764 231696 266352 288011 299274 399032 399528 448911 576022 598548 798064 799056 864033 897822 1152044 1197096 1728066 1795644 2304088 2394192 2592099 3456132 3591288 4608176 5184198 6912264 7182576 8928341 10368396 13824528 17856682 20736792 26785023 35713364 41473584 53570046 71426728 80355069 107140092 142853456 160710138 214280184 321420276 428560368 642840552 1285681104