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100945728 = 26321321761
BaseRepresentation
bin1100000010001…
…00111101000000
321000221120111200
412001010331000
5201320230403
614003341200
72334011262
oct601047500
9230846450
10100945728
1151a88024
1229981800
1317bb5100
14d599b32
158cdeca3
hex6044f40

100945728 has 252 divisors, whose sum is σ = 337180428. Its totient is φ = 28753920.

The previous prime is 100945709. The next prime is 100945729. The reversal of 100945728 is 827549001.

It can be written as a sum of positive squares in 6 ways, for example, as 27123264 + 73822464 = 5208^2 + 8592^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100945692 and 100945701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100945729) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1654818 + ... + 1654878.

Almost surely, 2100945728 is an apocalyptic number.

100945728 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 100945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168590214).

100945728 is an abundant number, since it is smaller than the sum of its proper divisors (236234700).

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

100945728 is a wasteful number, since it uses less digits than its factorization.

100945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 100945728 is about 10047.1751253773. The cubic root of 100945728 is about 465.6175215711.

The spelling of 100945728 in words is "one hundred million, nine hundred forty-five thousand, seven hundred twenty-eight".