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890452620 = 2232525119709
BaseRepresentation
bin110101000100110…
…011101010001100
32022001112200100200
4311010303222030
53310423440440
6224205253500
731031502531
oct6504635214
92261480320
10890452620
11417701262
1220a264290
13112632b55
1486392d88
1553292c30
hex35133a8c

890452620 has 72 divisors (see below), whose sum is σ = 2711938320. Its totient is φ = 236496000.

The previous prime is 890452597. The next prime is 890452631. The reversal of 890452620 is 26254098.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35326 + ... + 55034.

It is an arithmetic number, because the mean of its divisors is an integer number (37665810).

Almost surely, 2890452620 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 890452620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355969160).

890452620 is an abundant number, since it is smaller than the sum of its proper divisors (1821485700).

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

890452620 is a wasteful number, since it uses less digits than its factorization.

890452620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19975 (or 19970 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 890452620 is about 29840.4527445547. The cubic root of 890452620 is about 962.0632058667.

The spelling of 890452620 in words is "eight hundred ninety million, four hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 19709 22590 39418 45180 59127 78836 98545 118254 177381 197090 236508 295635 354762 394180 591270 709524 886905 1182540 1773810 3547620 4946959 9893918 14840877 19787836 24734795 29681754 44522631 49469590 59363508 74204385 89045262 98939180 148408770 178090524 222613155 296817540 445226310 890452620