Search a number
-
+
100489194 = 23313433329
BaseRepresentation
bin1011111110101…
…01011111101010
321000002101021000
411333111133222
5201211123234
613545455430
72330100261
oct577253752
9230071230
10100489194
11517a6023
12297a1576
1317a85380
14d4bb5d8
158c4e899
hex5fd57ea

100489194 has 64 divisors (see below), whose sum is σ = 246153600. Its totient is φ = 30191616.

The previous prime is 100489177. The next prime is 100489199. The reversal of 100489194 is 491984001.

It is a super-2 number, since 2×1004891942 = 20196156221539272, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (100489199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28522 + ... + 31850.

It is an arithmetic number, because the mean of its divisors is an integer number (3846150).

Almost surely, 2100489194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100489194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123076800).

100489194 is an abundant number, since it is smaller than the sum of its proper divisors (145664406).

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

100489194 is a wasteful number, since it uses less digits than its factorization.

100489194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100489194 is about 10024.4298590992. The cubic root of 100489194 is about 464.9145316381.

The spelling of 100489194 in words is "one hundred million, four hundred eighty-nine thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 351 387 559 702 774 1118 1161 1677 2322 3329 3354 5031 6658 9987 10062 15093 19974 29961 30186 43277 59922 86554 89883 129831 143147 179766 259662 286294 389493 429441 778986 858882 1168479 1288323 1860911 2336958 2576646 3721822 3864969 5582733 7729938 11165466 16748199 33496398 50244597 100489194