Search a number
-
+
100011384 = 233211197641
BaseRepresentation
bin1011111011000…
…00110101111000
320222012002211100
411331200311320
5201100331014
613531331400
72323040244
oct575406570
9228162740
10100011384
11514aa040
12295b0b60
1317948a45
14d3d5424
158ba8009
hex5f60d78

100011384 has 96 divisors (see below), whose sum is σ = 297451440. Its totient is φ = 30105600.

The previous prime is 100011361. The next prime is 100011397. The reversal of 100011384 is 483110001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155704 + ... + 156344.

Almost surely, 2100011384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148725720).

100011384 is an abundant number, since it is smaller than the sum of its proper divisors (197440056).

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

100011384 is a wasteful number, since it uses less digits than its factorization.

100011384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100011384 is about 10000.5691838015. The cubic root of 100011384 is about 464.1764959754.

Adding to 100011384 its reverse (483110001), we get a palindrome (583121385).

The spelling of 100011384 in words is "one hundred million, eleven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 197 198 264 394 396 591 641 788 792 1182 1282 1576 1773 1923 2167 2364 2564 3546 3846 4334 4728 5128 5769 6501 7051 7092 7692 8668 11538 13002 14102 14184 15384 17336 19503 21153 23076 26004 28204 39006 42306 46152 52008 56408 63459 78012 84612 126277 126918 156024 169224 252554 253836 378831 505108 507672 757662 1010216 1136493 1389047 1515324 2272986 2778094 3030648 4167141 4545972 5556188 8334282 9091944 11112376 12501423 16668564 25002846 33337128 50005692 100011384