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423135090 = 2345731523
BaseRepresentation
bin11001001110001…
…000011101110010
31002111012111020000
4121032020131302
51331310310330
6105553130430
713325406000
oct3116103562
91074174200
10423135090
111a7937724
12b9859a16
13698819c1
14402a7a70
1527233560
hex19388772

423135090 has 160 divisors (see below), whose sum is σ = 1327708800. Its totient is φ = 96653088.

The previous prime is 423135077. The next prime is 423135107. The reversal of 423135090 is 90531324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277069 + ... + 278591.

It is an arithmetic number, because the mean of its divisors is an integer number (8298180).

Almost surely, 2423135090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423135090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663854400).

423135090 is an abundant number, since it is smaller than the sum of its proper divisors (904573710).

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

423135090 is a wasteful number, since it uses less digits than its factorization.

423135090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 423135090 is about 20570.2476893206. The cubic root of 423135090 is about 750.7459777769.

The spelling of 423135090 in words is "four hundred twenty-three million, one hundred thirty-five thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 343 378 405 441 490 567 630 686 735 810 882 945 1029 1134 1323 1470 1523 1715 1890 2058 2205 2646 2835 3046 3087 3430 3969 4410 4569 5145 5670 6174 6615 7615 7938 9138 9261 10290 10661 13230 13707 15230 15435 18522 19845 21322 22845 27414 27783 30870 31983 39690 41121 45690 46305 53305 55566 63966 68535 74627 82242 92610 95949 106610 123363 137070 138915 149254 159915 191898 205605 223881 246726 277830 287847 319830 373135 411210 447762 479745 522389 575694 616815 671643 746270 863541 959490 1044778 1119405 1233630 1343286 1439235 1567167 1727082 2014929 2238810 2611945 2878470 3134334 3358215 4029858 4317705 4701501 5223890 6044787 6716430 7835835 8635410 9403002 10074645 12089574 14104503 15671670 20149290 23507505 28209006 30223935 42313509 47015010 60447870 70522515 84627018 141045030 211567545 423135090