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135015270 = 23513438397
BaseRepresentation
bin10000000110000…
…10101101100110
3100102001111010120
420003002231212
5234030442040
621221502410
73226416345
oct1003025546
9312044116
10135015270
116a237a75
1239271a06
1321c834c0
1413d07b5c
15bcbe7d0
hex80c2b66

135015270 has 128 divisors (see below), whose sum is σ = 365105664. Its totient is φ = 31739904.

The previous prime is 135015269. The next prime is 135015277. The reversal of 135015270 is 72510531.

It is a self number, because there is not a number n which added to its sum of digits gives 135015270.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135015277) 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 63 ways as a sum of consecutive naturals, for example, 1391862 + ... + 1391958.

It is an arithmetic number, because the mean of its divisors is an integer number (2852388).

Almost surely, 2135015270 is an apocalyptic number.

135015270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135015270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182552832).

135015270 is an abundant number, since it is smaller than the sum of its proper divisors (230090394).

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

135015270 is a wasteful number, since it uses less digits than its factorization.

135015270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 135015270 is about 11619.6071362159. The cubic root of 135015270 is about 513.0121250017.

The spelling of 135015270 in words is "one hundred thirty-five million, fifteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 83 86 97 129 130 166 194 195 215 249 258 291 390 415 430 485 498 559 582 645 830 970 1079 1118 1245 1261 1290 1455 1677 2158 2490 2522 2795 2910 3237 3354 3569 3783 4171 5395 5590 6305 6474 7138 7566 8051 8342 8385 10707 10790 12513 12610 16102 16185 16770 17845 18915 20855 21414 24153 25026 32370 35690 37830 40255 41710 46397 48306 53535 54223 62565 80510 92794 104663 107070 108446 120765 125130 139191 162669 209326 231985 241530 271115 278382 313989 325338 346193 463970 523315 542230 627978 692386 695955 813345 1038579 1046630 1391910 1569945 1626690 1730965 2077158 3139890 3461930 4500509 5192895 9001018 10385790 13501527 22502545 27003054 45005090 67507635 135015270