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135601024 = 2713194289
BaseRepresentation
bin10000001010100…
…01101110000000
3100110011020122011
420011101232000
5234203213044
621242222304
73234406156
oct1005215600
9313136564
10135601024
116a5a8069
12394b4994
1322129cc0
141401b3d6
15bd88134
hex8151b80

135601024 has 64 divisors (see below), whose sum is σ = 306306000. Its totient is φ = 59277312.

The previous prime is 135601019. The next prime is 135601073. The reversal of 135601024 is 420106531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 135600986 and 135601004.

It is a congruent number.

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, 29472 + ... + 33760.

Almost surely, 2135601024 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 135601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153153000).

135601024 is an abundant number, since it is smaller than the sum of its proper divisors (170704976).

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

135601024 is a wasteful number, since it uses less digits than its factorization.

135601024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 135601024 is about 11644.7852706694. The cubic root of 135601024 is about 513.7529433906.

Adding to 135601024 its reverse (420106531), we get a palindrome (555707555).

The spelling of 135601024 in words is "one hundred thirty-five million, six hundred one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 416 494 608 832 988 1216 1664 1976 2432 3952 4289 7904 8578 15808 17156 31616 34312 55757 68624 81491 111514 137248 162982 223028 274496 325964 446056 548992 651928 892112 1059383 1303856 1784224 2118766 2607712 3568448 4237532 5215424 7136896 8475064 10430848 16950128 33900256 67800512 135601024