Search a number
-
+
100663290 = 233571317241
BaseRepresentation
bin1011111111111…
…11111111111010
321000102020002000
411333333333322
5201232211130
613553321430
72331423660
oct577777772
9230366060
10100663290
1151904902
1229866276
1317b166a0
14d524c30
158c86260
hex5fffffa

100663290 has 256 divisors, whose sum is σ = 351267840. Its totient is φ = 19906560.

The previous prime is 100663261. The next prime is 100663291. The reversal of 100663290 is 92366001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (100663291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417570 + ... + 417810.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2100663290 is an apocalyptic number.

100663290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100663290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

100663290 is an abundant number, since it is smaller than the sum of its proper divisors (250604550).

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

100663290 is a wasteful number, since it uses less digits than its factorization.

100663290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 100663290 is about 10033.1096874299. The cubic root of 100663290 is about 465.1828625227.

The spelling of 100663290 in words is "one hundred million, six hundred sixty-three thousand, two hundred ninety".