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101400320 = 285711317
BaseRepresentation
bin1100000101100…
…11111100000000
321001210200002102
412002303330000
5201424302240
614021205532
72340613520
oct602637400
9231720072
10101400320
115226861a
1229b608a8
1318013cb8
14d677680
158d7e815
hex60b3f00

101400320 has 72 divisors (see below), whose sum is σ = 277607904. Its totient is φ = 34762752.

The previous prime is 101400319. The next prime is 101400323. The reversal of 101400320 is 23004101.

It is a happy number.

It is a super-2 number, since 2×1014003202 = 20564049792204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3302 + ... + 14618.

Almost surely, 2101400320 is an apocalyptic number.

101400320 is a gapful number since it is divisible by the number (10) 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 101400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138803952).

101400320 is an abundant number, since it is smaller than the sum of its proper divisors (176207584).

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

101400320 is an equidigital number, since it uses as much as digits as its factorization.

101400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 101400320 is about 10069.7725892892. The cubic root of 101400320 is about 466.3154182300.

Adding to 101400320 its reverse (23004101), we get a palindrome (124404421).

The spelling of 101400320 in words is "one hundred one million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 11317 22634 45268 56585 79219 90536 113170 158438 181072 226340 316876 362144 396095 452680 633752 724288 792190 905360 1267504 1448576 1584380 1810720 2535008 2897152 3168760 3621440 5070016 6337520 7242880 10140032 12675040 14485760 20280064 25350080 50700160 101400320