Search a number
-
+
101364534 = 236371879
BaseRepresentation
bin1100000101010…
…11001100110110
321001201212000000
412002223030312
5201422131114
614020332130
72340404265
oct602531466
9231655000
10101364534
1152243747
1229b44046
131800091b
14d6685dc
158d73e09
hex60ab336

101364534 has 56 divisors (see below), whose sum is σ = 234251760. Its totient is φ = 32857488.

The previous prime is 101364521. The next prime is 101364581. The reversal of 101364534 is 435463101.

101364534 is a `hidden beast` number, since 1 + 0 + 13 + 645 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101364498 and 101364507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 53007 + ... + 54885.

Almost surely, 2101364534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101364534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117125880).

101364534 is an abundant number, since it is smaller than the sum of its proper divisors (132887226).

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

101364534 is an equidigital number, since it uses as much as digits as its factorization.

101364534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 101364534 is about 10067.9955303923. The cubic root of 101364534 is about 466.2605547376.

The spelling of 101364534 in words is "one hundred one million, three hundred sixty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1879 1998 2997 3758 5637 5994 8991 11274 16911 17982 26973 33822 50733 53946 69523 101466 139046 152199 208569 304398 417138 456597 625707 913194 1251414 1369791 1877121 2739582 3754242 5631363 11262726 16894089 33788178 50682267 101364534