Search a number
-
+
100144530 = 232523101479
BaseRepresentation
bin1011111100000…
…01010110010010
320222102212110200
411332001112102
5201114111110
613534240030
72324133363
oct576012622
9228385420
10100144530
1151590082
1229656016
1317994525
14d42bb6a
158bd26c0
hex5f81592

100144530 has 96 divisors (see below), whose sum is σ = 274959360. Its totient is φ = 25238400.

The previous prime is 100144529. The next prime is 100144543. The reversal of 100144530 is 35441001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208831 + ... + 209309.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2100144530 is an apocalyptic number.

100144530 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 100144530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

100144530 is an abundant number, since it is smaller than the sum of its proper divisors (174814830).

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

100144530 is a wasteful number, since it uses less digits than its factorization.

100144530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100144530 is about 10007.2238907701. The cubic root of 100144530 is about 464.3823919949.

Adding to 100144530 its reverse (35441001), we get a palindrome (135585531).

The spelling of 100144530 in words is "one hundred million, one hundred forty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 101 115 138 202 207 230 303 345 414 479 505 606 690 909 958 1010 1035 1437 1515 1818 2070 2323 2395 2874 3030 4311 4545 4646 4790 6969 7185 8622 9090 11017 11615 13938 14370 20907 21555 22034 23230 33051 34845 41814 43110 48379 55085 66102 69690 96758 99153 104535 110170 145137 165255 198306 209070 241895 290274 330510 435411 483790 495765 725685 870822 991530 1112717 1451370 2177055 2225434 3338151 4354110 5563585 6676302 10014453 11127170 16690755 20028906 33381510 50072265 100144530