Search a number
-
+
165383424 = 283371337
BaseRepresentation
bin10011101101110…
…00110100000000
3102112012100102000
421312320310000
5314314232144
624224424000
74045510263
oct1166706400
9375170360
10165383424
118539a018
1247478000
1328356c1b
1417d70cda
15e7bc769
hex9db8d00

165383424 has 144 divisors (see below), whose sum is σ = 497427840. Its totient is φ = 54190080.

The previous prime is 165383423. The next prime is 165383443. The reversal of 165383424 is 424383561.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165383423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490584 + ... + 490920.

It is an arithmetic number, because the mean of its divisors is an integer number (3454360).

Almost surely, 2165383424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248713920).

165383424 is an abundant number, since it is smaller than the sum of its proper divisors (332044416).

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

165383424 is an equidigital number, since it uses as much as digits as its factorization.

165383424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 165383424 is about 12860.1486772121. The cubic root of 165383424 is about 548.9051763728.

The spelling of 165383424 in words is "one hundred sixty-five million, three hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 337 384 426 432 568 576 639 674 768 852 864 1011 1136 1152 1278 1348 1704 1728 1917 2022 2272 2304 2556 2696 3033 3408 3456 3834 4044 4544 5112 5392 6066 6816 6912 7668 8088 9088 9099 10224 10784 12132 13632 15336 16176 18176 18198 20448 21568 23927 24264 27264 30672 32352 36396 40896 43136 47854 48528 54528 61344 64704 71781 72792 81792 86272 95708 97056 122688 129408 143562 145584 163584 191416 194112 215343 245376 258816 287124 291168 382832 388224 430686 490752 574248 582336 646029 765664 776448 861372 1148496 1164672 1292058 1531328 1722744 2296992 2329344 2584116 3062656 3445488 4593984 5168232 6125312 6890976 9187968 10336464 13781952 18375936 20672928 27563904 41345856 55127808 82691712 165383424