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100328046 = 23713533467
BaseRepresentation
bin1011111101011…
…10001001101110
320222210012012120
411332232021232
5201140444141
613542213410
72325526410
oct576561156
9228705176
10100328046
11516a5a45
1229724266
1317a29c10
14d4789b0
158c1bc66
hex5fae26e

100328046 has 64 divisors (see below), whose sum is σ = 251693568. Its totient is φ = 25953408.

The previous prime is 100328029. The next prime is 100328051. The reversal of 100328046 is 640823001.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 27205 + ... + 30671.

It is an arithmetic number, because the mean of its divisors is an integer number (3932712).

Almost surely, 2100328046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100328046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846784).

100328046 is an abundant number, since it is smaller than the sum of its proper divisors (151365522).

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

100328046 is a wasteful number, since it uses less digits than its factorization.

100328046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 100328046 is about 10016.3888702466. The cubic root of 100328046 is about 464.6658809199.

The spelling of 100328046 in words is "one hundred million, three hundred twenty-eight thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 3467 4134 4823 6934 9646 10401 14469 20802 24269 28938 45071 48538 72807 90142 135213 145614 183751 270426 315497 367502 551253 630994 946491 1102506 1286257 1892982 2388763 2572514 3858771 4777526 7166289 7717542 14332578 16721341 33442682 50164023 100328046