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135673408 = 2613179911
BaseRepresentation
bin10000001011000…
…11011001000000
3100110021220221001
420011203121000
5234213022113
621243541344
73235130203
oct1005433100
9313256831
10135673408
116a647492
123952a854
1322153c30
141403993a
15bd9e7dd
hex8163640

135673408 has 56 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 62200320.

The previous prime is 135673399. The next prime is 135673411. The reversal of 135673408 is 804376531.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148473 + ... + 149383.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2135673408 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 135673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

135673408 is an abundant number, since it is smaller than the sum of its proper divisors (156203072).

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

135673408 is a wasteful number, since it uses less digits than its factorization.

135673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 135673408 is about 11647.8928566501. The cubic root of 135673408 is about 513.8443411225.

The spelling of 135673408 in words is "one hundred thirty-five million, six hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 179 208 358 416 716 832 911 1432 1822 2327 2864 3644 4654 5728 7288 9308 11456 11843 14576 18616 23686 29152 37232 47372 58304 74464 94744 148928 163069 189488 326138 378976 652276 757952 1304552 2119897 2609104 4239794 5218208 8479588 10436416 16959176 33918352 67836704 135673408