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135412970 = 2573113797
BaseRepresentation
bin10000001001000…
…11110011101010
3100102210200200012
420010203303222
5234131203340
621234211522
73232664000
oct1004436352
9312720605
10135412970
116a489850
1239423ba2
1322092524
1413daca70
15bd4c565
hex8123cea

135412970 has 128 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 40642560.

The previous prime is 135412961. The next prime is 135412987. The reversal of 135412970 is 79214531.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395962 + ... + 1396058.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2135412970 is an apocalyptic number.

135412970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135412970 is an abundant number, since it is smaller than the sum of its proper divisors (186340630).

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

135412970 is a wasteful number, since it uses less digits than its factorization.

135412970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 135412970 is about 11636.7078677777. The cubic root of 135412970 is about 513.5153395011.

The spelling of 135412970 in words is "one hundred thirty-five million, four hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 11 14 22 35 37 49 55 70 74 77 97 98 110 154 185 194 245 259 343 370 385 407 485 490 518 539 679 686 770 814 970 1067 1078 1295 1358 1715 1813 2035 2134 2590 2695 2849 3395 3430 3589 3626 3773 4070 4753 5335 5390 5698 6790 7178 7469 7546 9065 9506 10670 12691 14245 14938 17945 18130 18865 19943 23765 25123 25382 28490 33271 35890 37345 37730 39479 39886 47530 50246 52283 63455 66542 74690 78958 99715 104566 125615 126910 139601 166355 175861 197395 199430 251230 261415 276353 279202 332710 351722 365981 394790 522830 552706 698005 731962 879305 1231027 1381765 1396010 1758610 1829905 1934471 2462054 2763530 3659810 3868942 6155135 9672355 12310270 13541297 19344710 27082594 67706485 135412970