Search a number
-
+
100563540 = 223571121767
BaseRepresentation
bin1011111111001…
…11101001010100
321000020011020120
411333213221110
5201221013130
613551231540
72330530110
oct577475124
9230204216
10100563540
1151846970
12298185b0
1317ab016c
14d4da740
158c66910
hex5fe7a54

100563540 has 96 divisors (see below), whose sum is σ = 351074304. Its totient is φ = 20895360.

The previous prime is 100563487. The next prime is 100563569. The reversal of 100563540 is 45365001.

It is a super-2 number, since 2×1005635402 = 20226051154663200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100563540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6264 + ... + 15503.

It is an arithmetic number, because the mean of its divisors is an integer number (3657024).

Almost surely, 2100563540 is an apocalyptic number.

100563540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100563540 is an abundant number, since it is smaller than the sum of its proper divisors (250510764).

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

100563540 is a wasteful number, since it uses less digits than its factorization.

100563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21797 (or 21795 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 100563540 is about 10028.1374142958. The cubic root of 100563540 is about 465.0291576120.

The spelling of 100563540 in words is "one hundred million, five hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 21767 43534 65301 87068 108835 130602 152369 217670 239437 261204 304738 326505 435340 457107 478874 609476 653010 718311 761845 914214 957748 1197185 1306020 1436622 1523690 1676059 1828428 2285535 2394370 2873244 3047380 3352118 3591555 4571070 4788740 5028177 6704236 7183110 8380295 9142140 10056354 14366220 16760590 20112708 25140885 33521180 50281770 100563540