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134948928 = 2631016959
BaseRepresentation
bin10000000101100…
…10100001000000
3100101221010010110
420002302201000
5234021331203
621220231320
73226022052
oct1002624100
9311833113
10134948928
116a1a2144
123923b540
1321c5c24a
1413ccb8d2
15bca9d03
hex80b2840

134948928 has 56 divisors (see below), whose sum is σ = 360639360. Its totient is φ = 44531200.

The previous prime is 134948927. The next prime is 134948929. The reversal of 134948928 is 829849431.

It is an interprime number because it is at equal distance from previous prime (134948927) and next prime (134948929).

It is a super-2 number, since 2×1349489282 = 36422426336698368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (134948927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15913 + ... + 22871.

Almost surely, 2134948928 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 134948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180319680).

134948928 is an abundant number, since it is smaller than the sum of its proper divisors (225690432).

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

134948928 is a wasteful number, since it uses less digits than its factorization.

134948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7065 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 134948928 is about 11616.7520417714. The cubic root of 134948928 is about 512.9280855536.

It can be divided in two parts, 13494 and 8928, that added together give a palindrome (22422).

The spelling of 134948928 in words is "one hundred thirty-four million, nine hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 6959 9696 13918 19392 20877 27836 41754 55672 83508 111344 167016 222688 334032 445376 668064 702859 1336128 1405718 2108577 2811436 4217154 5622872 8434308 11245744 16868616 22491488 33737232 44982976 67474464 134948928