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100570428 = 22327593673
BaseRepresentation
bin1011111111010…
…01010100111100
321000020111200200
411333221110330
5201221223203
613551323500
72330556150
oct577512474
9230214620
10100570428
1151851062
1229820590
1317ab333a
14d4dd060
158c689a3
hex5fe953c

100570428 has 72 divisors (see below), whose sum is σ = 291459168. Its totient is φ = 28643328.

The previous prime is 100570427. The next prime is 100570433. The reversal of 100570428 is 824075001.

It is a super-2 number, since 2×1005704282 = 20228821976206368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100570423) by changing a digit.

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, 149100 + ... + 149772.

It is an arithmetic number, because the mean of its divisors is an integer number (4048044).

Almost surely, 2100570428 is an apocalyptic number.

100570428 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 100570428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145729584).

100570428 is an abundant number, since it is smaller than the sum of its proper divisors (190888740).

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

100570428 is a wasteful number, since it uses less digits than its factorization.

100570428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 100570428 is about 10028.4808420817. The cubic root of 100570428 is about 465.0397746067.

The spelling of 100570428 in words is "one hundred million, five hundred seventy thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 593 673 1186 1346 1779 2019 2372 2692 3558 4038 4151 4711 5337 6057 7116 8076 8302 9422 10674 12114 12453 14133 16604 18844 21348 24228 24906 28266 37359 42399 49812 56532 74718 84798 149436 169596 399089 798178 1197267 1596356 2394534 2793623 3591801 4789068 5587246 7183602 8380869 11174492 14367204 16761738 25142607 33523476 50285214 100570428