Search a number
-
+
816641400 = 233521361069
BaseRepresentation
bin110000101011001…
…111010101111000
32002220122200101210
4300223033111320
53133030011100
6213011243120
726144223501
oct6053172570
92086580353
10816641400
11389a77853
121a95a94a0
1310025b683
147a65bba8
154ba62c50
hex30acf578

816641400 has 48 divisors (see below), whose sum is σ = 2531590200. Its totient is φ = 217770880.

The previous prime is 816641389. The next prime is 816641429. The reversal of 816641400 is 4146618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679935 + ... + 681134.

Almost surely, 2816641400 is an apocalyptic number.

It is an amenable number.

816641400 is an abundant number, since it is smaller than the sum of its proper divisors (1714948800).

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

816641400 is a wasteful number, since it uses less digits than its factorization.

816641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361088 (or 1361079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 816641400 is about 28576.9382544737. The cubic root of 816641400 is about 934.7105207356.

The spelling of 816641400 in words is "eight hundred sixteen million, six hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1361069 2722138 4083207 5444276 6805345 8166414 10888552 13610690 16332828 20416035 27221380 32665656 34026725 40832070 54442760 68053450 81664140 102080175 136106900 163328280 204160350 272213800 408320700 816641400