Search a number
-
+
101745152 = 291910459
BaseRepresentation
bin1100001000010…
…00001000000000
321002110012002222
412010020020000
5202021321102
614032430212
72343551045
oct604101000
9232405088
10101745152
1152483703
122a0a8368
1318104c42
14d7271cc
158debaa2
hex6108200

101745152 has 40 divisors (see below), whose sum is σ = 214011600. Its totient is φ = 48190464.

The previous prime is 101745113. The next prime is 101745157. The reversal of 101745152 is 251547101.

It is not an unprimeable number, because it can be changed into a prime (101745157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4499 + ... + 14957.

It is an arithmetic number, because the mean of its divisors is an integer number (5350290).

Almost surely, 2101745152 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 101745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107005800).

101745152 is an abundant number, since it is smaller than the sum of its proper divisors (112266448).

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

101745152 is an equidigital number, since it uses as much as digits as its factorization.

101745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 101745152 is about 10086.8801916152. The cubic root of 101745152 is about 466.8434196665.

The spelling of 101745152 in words is "one hundred one million, seven hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 10459 20918 41836 83672 167344 198721 334688 397442 669376 794884 1338752 1589768 2677504 3179536 5355008 6359072 12718144 25436288 50872576 101745152