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135070760 = 23511373823
BaseRepresentation
bin10000000110100…
…00010000101000
3100102011022020202
420003100100220
5234034231020
621223011332
73230040206
oct1003202050
9312138222
10135070760
116a275730
1239299b48
1321ca2836
1413d20076
15bcd0e75
hex80d0428

135070760 has 64 divisors (see below), whose sum is σ = 332830080. Its totient is φ = 48925440.

The previous prime is 135070759. The next prime is 135070781. The reversal of 135070760 is 67070531.

It is a super-2 number, since 2×1350707602 = 36488220413955200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 163709 + ... + 164531.

It is an arithmetic number, because the mean of its divisors is an integer number (5200470).

Almost surely, 2135070760 is an apocalyptic number.

135070760 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 135070760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166415040).

135070760 is an abundant number, since it is smaller than the sum of its proper divisors (197759320).

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

135070760 is a wasteful number, since it uses less digits than its factorization.

135070760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 135070760 is about 11621.9946652887. The cubic root of 135070760 is about 513.0823964207.

The spelling of 135070760 in words is "one hundred thirty-five million, seventy thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 373 440 746 823 1492 1646 1865 2984 3292 3730 4103 4115 6584 7460 8206 8230 9053 14920 16412 16460 18106 20515 32824 32920 36212 41030 45265 72424 82060 90530 164120 181060 306979 362120 613958 1227916 1534895 2455832 3069790 3376769 6139580 6753538 12279160 13507076 16883845 27014152 33767690 67535380 135070760