Search a number
-
+
896909760 = 2634534603
BaseRepresentation
bin110101011101011…
…100000111000000
32022111200201220000
4311131130013000
53314102103020
6224555520000
731140415155
oct6535340700
92274621800
10896909760
1142031163a
12210459000
13113a83c46
148719422c
1553b1b090
hex3575c1c0

896909760 has 140 divisors (see below), whose sum is σ = 3190558008. Its totient is φ = 239169024.

The previous prime is 896909759. The next prime is 896909803. The reversal of 896909760 is 67909698.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 896909697 and 896909706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8619 + ... + 43221.

Almost surely, 2896909760 is an apocalyptic number.

896909760 is a gapful number since it is divisible by the number (80) 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 896909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595279004).

896909760 is an abundant number, since it is smaller than the sum of its proper divisors (2293648248).

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

896909760 is a wasteful number, since it uses less digits than its factorization.

896909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34632 (or 34613 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 896909760 is about 29948.4517129016. The cubic root of 896909760 is about 964.3830826547.

The spelling of 896909760 in words is "eight hundred ninety-six million, nine hundred nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 34603 69206 103809 138412 173015 207618 276824 311427 346030 415236 519045 553648 622854 692060 830472 934281 1038090 1107296 1245708 1384120 1557135 1660944 1868562 2076180 2214592 2491416 2768240 2802843 3114270 3321888 3737124 4152360 4671405 4982832 5536480 5605686 6228540 6643776 7474248 8304720 9342810 9965664 11072960 11211372 12457080 14014215 14948496 16609440 18685620 19931328 22422744 24914160 28028430 29896992 33218880 37371240 44845488 49828320 56056860 59793984 74742480 89690976 99656640 112113720 149484960 179381952 224227440 298969920 448454880 896909760