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136447740 = 2234511131931
BaseRepresentation
bin10000010001000…
…00011011111100
3100111202021010000
420020200123330
5234412311430
621312314300
73244533552
oct1010403374
9314667100
10136447740
1170026230
1239842990
1322365510
141419bbd2
15bea3e60
hex82206fc

136447740 has 480 divisors, whose sum is σ = 546416640. Its totient is φ = 27993600.

The previous prime is 136447739. The next prime is 136447741. The reversal of 136447740 is 47744631.

It is a happy number.

136447740 is a `hidden beast` number, since 1 + 3 + 644 + 7 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136447739) and next prime (136447741).

It is a super-2 number, since 2×1364477402 = 37235971502215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136447695 and 136447704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136447741) 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 159 ways as a sum of consecutive naturals, for example, 4401525 + ... + 4401555.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 2136447740 is an apocalyptic number.

136447740 is a gapful number since it is divisible by the number (10) 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 136447740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273208320).

136447740 is an abundant number, since it is smaller than the sum of its proper divisors (409968900).

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

136447740 is a wasteful number, since it uses less digits than its factorization.

136447740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 136447740 is about 11681.0847099060. The cubic root of 136447740 is about 514.8200458395.

The spelling of 136447740 in words is "one hundred thirty-six million, four hundred forty-seven thousand, seven hundred forty".