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165426560 = 2751359337
BaseRepresentation
bin10011101110000…
…11010110000000
3102112021112120122
421313003112000
5314322122220
624225355412
74046050115
oct1167032600
9375245518
10165426560
1185419472
1247498b68
1328370750
1417d8290c
15e7ca425
hex9dc3580

165426560 has 128 divisors (see below), whose sum is σ = 434397600. Its totient is φ = 59867136.

The previous prime is 165426523. The next prime is 165426563. The reversal of 165426560 is 65624561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 165426560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165426563) 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, 490712 + ... + 491048.

Almost surely, 2165426560 is an apocalyptic number.

165426560 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 165426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198800).

165426560 is an abundant number, since it is smaller than the sum of its proper divisors (268971040).

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

165426560 is a wasteful number, since it uses less digits than its factorization.

165426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 165426560 is about 12861.8256868922. The cubic root of 165426560 is about 548.9528948097.

The spelling of 165426560 in words is "one hundred sixty-five million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 64 65 80 104 118 128 130 160 208 236 260 295 320 337 416 472 520 590 640 674 767 832 944 1040 1180 1348 1534 1664 1685 1888 2080 2360 2696 3068 3370 3776 3835 4160 4381 4720 5392 6136 6740 7552 7670 8320 8762 9440 10784 12272 13480 15340 17524 18880 19883 21568 21905 24544 26960 30680 35048 37760 39766 43136 43810 49088 53920 61360 70096 79532 87620 98176 99415 107840 122720 140192 159064 175240 198830 215680 245440 258479 280384 318128 350480 397660 490880 516958 560768 636256 700960 795320 1033916 1272512 1292395 1401920 1590640 2067832 2545024 2584790 2803840 3181280 4135664 5169580 6362560 8271328 10339160 12725120 16542656 20678320 33085312 41356640 82713280 165426560