Search a number
-
+
106520744 = 23119712479
BaseRepresentation
bin1100101100101…
…10000010101000
321102102210222202
412112112002220
5204232130434
614323035332
72432261051
oct626260250
9242383882
10106520744
1155145680
122b80bb48
13190b7835
141020b728
159541a7e
hex65960a8

106520744 has 32 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 47915520.

The previous prime is 106520723. The next prime is 106520749. The reversal of 106520744 is 447025601.

It is a super-2 number, since 2×1065207442 = 22693337804627072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106520749) 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, 2297 + ... + 14775.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2106520744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106520744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

106520744 is an abundant number, since it is smaller than the sum of its proper divisors (113626456).

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

106520744 is a wasteful number, since it uses less digits than its factorization.

106520744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12593 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 106520744 is about 10320.8887214232. Note that the first 3 decimals coincide. The cubic root of 106520744 is about 474.0360788409.

The spelling of 106520744 in words is "one hundred six million, five hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 4268 8536 12479 24958 49916 99832 137269 274538 549076 1098152 1210463 2420926 4841852 9683704 13315093 26630186 53260372 106520744