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135799092 = 22351113977
BaseRepresentation
bin10000001100000…
…10000100110100
3100110112022100000
420012002010310
5234231032332
621250351300
73236162502
oct1006020464
9313468300
10135799092
116a722960
123958b530
13221991c0
141406d672
15bdc6b7c
hex8182134

135799092 has 144 divisors (see below), whose sum is σ = 418646592. Its totient is φ = 37946880.

The previous prime is 135799087. The next prime is 135799109. The reversal of 135799092 is 290997531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138508 + ... + 139484.

It is an arithmetic number, because the mean of its divisors is an integer number (2907268).

Almost surely, 2135799092 is an apocalyptic number.

135799092 is a gapful number since it is divisible by the number (12) 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 135799092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209323296).

135799092 is an abundant number, since it is smaller than the sum of its proper divisors (282847500).

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

135799092 is a wasteful number, since it uses less digits than its factorization.

135799092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 135799092 is about 11653.2867466651. The cubic root of 135799092 is about 514.0029624300.

The spelling of 135799092 in words is "one hundred thirty-five million, seven hundred ninety-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 243 286 297 324 351 396 429 468 486 572 594 702 858 891 972 977 1053 1188 1287 1404 1716 1782 1954 2106 2574 2673 2931 3159 3564 3861 3908 4212 5148 5346 5862 6318 7722 8793 10692 10747 11583 11724 12636 12701 15444 17586 21494 23166 25402 26379 32241 34749 35172 38103 42988 46332 50804 52758 64482 69498 76206 79137 96723 105516 114309 128964 138996 139711 152412 158274 193446 228618 237411 279422 290169 316548 342927 386892 419133 457236 474822 558844 580338 685854 838266 870507 949644 1028781 1160676 1257399 1371708 1676532 1741014 2057562 2514798 2611521 3086343 3482028 3772197 4115124 5029596 5223042 6172686 7544394 10446084 11316591 12345372 15088788 22633182 33949773 45266364 67899546 135799092