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100129428 = 22327735443
BaseRepresentation
bin1011111011111…
…01101010010100
320222102002202100
411331331222110
5201113120203
613534042100
72324041350
oct575755224
9228362670
10100129428
115157a7a3
1229649330
131798a6a9
14d426460
158bccea3
hex5f7da94

100129428 has 72 divisors (see below), whose sum is σ = 293279168. Its totient is φ = 28211328.

The previous prime is 100129409. The next prime is 100129441. The reversal of 100129428 is 824921001.

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, 15675 + ... + 21117.

Almost surely, 2100129428 is an apocalyptic number.

100129428 is a gapful number since it is divisible by the number (18) 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 100129428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146639584).

100129428 is an abundant number, since it is smaller than the sum of its proper divisors (193149740).

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

100129428 is a wasteful number, since it uses less digits than its factorization.

100129428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100129428 is about 10006.4693074031. The cubic root of 100129428 is about 464.3590475498.

The spelling of 100129428 in words is "one hundred million, one hundred twenty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 5443 6132 9198 10886 16329 18396 21772 32658 38101 48987 65316 76202 97974 114303 152404 195948 228606 342909 397339 457212 685818 794678 1192017 1371636 1589356 2384034 2781373 3576051 4768068 5562746 7152102 8344119 11125492 14304204 16688238 25032357 33376476 50064714 100129428