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135523380 = 223529711097
BaseRepresentation
bin10000001001111…
…10110000110100
3100110000022010110
420010332300310
5234143222010
621240423020
73233633616
oct1004766064
9313008113
10135523380
116a5547a3
1239477a70
1322100865
1413ddadb6
15bd70120
hex813ec34

135523380 has 96 divisors (see below), whose sum is σ = 398442240. Its totient is φ = 34370560.

The previous prime is 135523363. The next prime is 135523387. The reversal of 135523380 is 83325531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135523387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122992 + ... + 124088.

It is an arithmetic number, because the mean of its divisors is an integer number (4150440).

Almost surely, 2135523380 is an apocalyptic number.

135523380 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 135523380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

135523380 is an abundant number, since it is smaller than the sum of its proper divisors (262918860).

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

135523380 is a wasteful number, since it uses less digits than its factorization.

135523380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 135523380 is about 11641.4509404971. The cubic root of 135523380 is about 513.6548678051.

The spelling of 135523380 in words is "one hundred thirty-five million, five hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 71 87 116 142 145 174 213 284 290 348 355 426 435 580 710 852 870 1065 1097 1420 1740 2059 2130 2194 3291 4118 4260 4388 5485 6177 6582 8236 10295 10970 12354 13164 16455 20590 21940 24708 30885 31813 32910 41180 61770 63626 65820 77887 95439 123540 127252 155774 159065 190878 233661 311548 318130 381756 389435 467322 477195 636260 778870 934644 954390 1168305 1557740 1908780 2258723 2336610 4517446 4673220 6776169 9034892 11293615 13552338 22587230 27104676 33880845 45174460 67761690 135523380