Search a number
-
+
100158336 = 273373397
BaseRepresentation
bin1011111100001…
…00101110000000
320222110120102000
411332010232000
5201120031321
613534424000
72324221545
oct576045600
9228416360
10100158336
115159a493
1229662000
131799a8b5
14d432bcc
158bd6826
hex5f84b80

100158336 has 128 divisors (see below), whose sum is σ = 300410400. Its totient is φ = 32845824.

The previous prime is 100158323. The next prime is 100158343. The reversal of 100158336 is 633851001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252090 + ... + 252486.

Almost surely, 2100158336 is an apocalyptic number.

100158336 is a gapful number since it is divisible by the number (16) 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 100158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205200).

100158336 is an abundant number, since it is smaller than the sum of its proper divisors (200252064).

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

100158336 is an equidigital number, since it uses as much as digits as its factorization.

100158336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100158336 is about 10007.9136686924. The cubic root of 100158336 is about 464.4037310492.

The spelling of 100158336 in words is "one hundred million, one hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 288 292 384 397 432 438 576 584 657 794 864 876 1152 1168 1191 1314 1588 1728 1752 1971 2336 2382 2628 3176 3456 3504 3573 3942 4672 4764 5256 6352 7008 7146 7884 9344 9528 10512 10719 12704 14016 14292 15768 19056 21024 21438 25408 28032 28584 28981 31536 38112 42048 42876 50816 57168 57962 63072 76224 84096 85752 86943 114336 115924 126144 152448 171504 173886 228672 231848 252288 260829 343008 347772 457344 463696 521658 686016 695544 782487 927392 1043316 1372032 1391088 1564974 1854784 2086632 2782176 3129948 3709568 4173264 5564352 6259896 8346528 11128704 12519792 16693056 25039584 33386112 50079168 100158336