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153045536 = 2574714537
BaseRepresentation
bin10010001111101…
…00101000100000
3101122222112000012
421013310220200
5303134424121
623104144052
73535602620
oct1107645040
9348875005
10153045536
1179432416
1243308028
13259271b7
141647c880
15d681c5b
hex91f4a20

153045536 has 48 divisors (see below), whose sum is σ = 351703296. Its totient is φ = 64190976.

The previous prime is 153045521. The next prime is 153045559. The reversal of 153045536 is 635540351.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 3260 + ... + 17796.

It is an arithmetic number, because the mean of its divisors is an integer number (7327152).

Almost surely, 2153045536 is an apocalyptic number.

153045536 is a gapful number since it is divisible by the number (16) 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 153045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175851648).

153045536 is an abundant number, since it is smaller than the sum of its proper divisors (198657760).

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

153045536 is a wasteful number, since it uses less digits than its factorization.

153045536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14601 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 153045536 is about 12371.1574236205. The cubic root of 153045536 is about 534.9011795235.

Adding to 153045536 its reverse (635540351), we get a palindrome (788585887).

The spelling of 153045536 in words is "one hundred fifty-three million, forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 10528 14537 29074 58148 101759 116296 203518 232592 407036 465184 683239 814072 1366478 1628144 2732956 3256288 4782673 5465912 9565346 10931824 19130692 21863648 38261384 76522768 153045536