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100494936 = 23324159577
BaseRepresentation
bin1011111110101…
…10111001011000
321000002200010200
411333112321120
5201211314221
613545542200
72330123103
oct577267130
9230080120
10100494936
11517aa373
12297a4960
1317a87b79
14d4bd73a
158c51426
hex5fd6e58

100494936 has 96 divisors (see below), whose sum is σ = 284029200. Its totient is φ = 32071680.

The previous prime is 100494893. The next prime is 100494941. The reversal of 100494936 is 639494001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100494936.

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 23 ways as a sum of consecutive naturals, for example, 173880 + ... + 174456.

Almost surely, 2100494936 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 100494936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142014600).

100494936 is an abundant number, since it is smaller than the sum of its proper divisors (183534264).

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

100494936 is a wasteful number, since it uses less digits than its factorization.

100494936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 100494936 is about 10024.7162553361. The cubic root of 100494936 is about 464.9233866148.

The spelling of 100494936 in words is "one hundred million, four hundred ninety-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 59 72 82 118 123 164 177 236 246 328 354 369 472 492 531 577 708 738 984 1062 1154 1416 1476 1731 2124 2308 2419 2952 3462 4248 4616 4838 5193 6924 7257 9676 10386 13848 14514 19352 20772 21771 23657 29028 34043 41544 43542 47314 58056 68086 70971 87084 94628 102129 136172 141942 174168 189256 204258 212913 272344 283884 306387 408516 425826 567768 612774 817032 851652 1225548 1395763 1703304 2451096 2791526 4187289 5583052 8374578 11166104 12561867 16749156 25123734 33498312 50247468 100494936