Search a number
-
+
101502720 = 283451189
BaseRepresentation
bin1100000110011…
…00111100000000
321001222212120000
412003030330000
5201441041340
614023320000
72341521204
oct603147400
9231885500
10101502720
1152328550
1229bb0000
131804b7a7
14d6a2b04
158d9ed30
hex60ccf00

101502720 has 360 divisors, whose sum is σ = 400664880. Its totient is φ = 24330240.

The previous prime is 101502701. The next prime is 101502721. The reversal of 101502720 is 27205101.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 101502693 and 101502702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101502721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140436 + ... + 1140524.

It is an arithmetic number, because the mean of its divisors is an integer number (1112958).

Almost surely, 2101502720 is an apocalyptic number.

101502720 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 101502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200332440).

101502720 is an abundant number, since it is smaller than the sum of its proper divisors (299162160).

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

101502720 is an equidigital number, since it uses as much as digits as its factorization.

101502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 101502720 is about 10074.8558302340. The cubic root of 101502720 is about 466.4723363213.

Adding to 101502720 its reverse (27205101), we get a palindrome (128707821).

The spelling of 101502720 in words is "one hundred one million, five hundred two thousand, seven hundred twenty".