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890461240 = 235293720747
BaseRepresentation
bin110101000100110…
…101110000111000
32022001120010011221
4311010311300320
53310424224430
6224205401424
731031536624
oct6504656070
92261503157
10890461240
11417707789
1220a269274
13112636a56
1486396184
155329557a
hex35135c38

890461240 has 64 divisors (see below), whose sum is σ = 2128744800. Its totient is φ = 334591488.

The previous prime is 890461237. The next prime is 890461283. The reversal of 890461240 is 42164098.

It is a junction number, because it is equal to n+sod(n) for n = 890461196 and 890461205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32547 + ... + 53293.

Almost surely, 2890461240 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 890461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064372400).

890461240 is an abundant number, since it is smaller than the sum of its proper divisors (1238283560).

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

890461240 is a wasteful number, since it uses less digits than its factorization.

890461240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20824 (or 20820 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 890461240 is about 29840.5971790110. The cubic root of 890461240 is about 962.0663102647.

The spelling of 890461240 in words is "eight hundred ninety million, four hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 232 290 296 370 580 740 1073 1160 1480 2146 4292 5365 8584 10730 20747 21460 41494 42920 82988 103735 165976 207470 414940 601663 767639 829880 1203326 1535278 2406652 3008315 3070556 3838195 4813304 6016630 6141112 7676390 12033260 15352780 22261531 24066520 30705560 44523062 89046124 111307655 178092248 222615310 445230620 890461240