Search a number
-
+
100463860 = 22571674297
BaseRepresentation
bin1011111110011…
…11010011110100
321000001002111201
411333033103310
5201204320420
613545142244
72326633360
oct577172364
9230032451
10100463860
1151788a92
122978a984
1317a76993
14d4b22a0
158c4710a
hex5fcf4f4

100463860 has 48 divisors (see below), whose sum is σ = 242613504. Its totient is φ = 34230528.

The previous prime is 100463821. The next prime is 100463861. The reversal of 100463860 is 68364001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100463861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21232 + ... + 25528.

It is an arithmetic number, because the mean of its divisors is an integer number (5054448).

Almost surely, 2100463860 is an apocalyptic number.

100463860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100463860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121306752).

100463860 is an abundant number, since it is smaller than the sum of its proper divisors (142149644).

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

100463860 is a wasteful number, since it uses less digits than its factorization.

100463860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 100463860 is about 10023.1661664366. The cubic root of 100463860 is about 464.8754589969.

The spelling of 100463860 in words is "one hundred million, four hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 835 1169 1670 2338 3340 4297 4676 5845 8594 11690 17188 21485 23380 30079 42970 60158 85940 120316 150395 300790 601580 717599 1435198 2870396 3587995 5023193 7175990 10046386 14351980 20092772 25115965 50231930 100463860