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165063540 = 223517413947
BaseRepresentation
bin10011101011010…
…10101101110100
3102111121002121110
421311222231310
5314224013130
624213515020
74043005545
oct1165525564
9374532543
10165063540
11851a0754
1247342a70
1328274445
1417cca4cc
15e757ab0
hex9d6ab74

165063540 has 96 divisors (see below), whose sum is σ = 501427584. Its totient is φ = 40407040.

The previous prime is 165063539. The next prime is 165063553. The reversal of 165063540 is 45360561.

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

It is a junction number, because it is equal to n+sod(n) for n = 165063498 and 165063507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39847 + ... + 43793.

It is an arithmetic number, because the mean of its divisors is an integer number (5223204).

Almost surely, 2165063540 is an apocalyptic number.

165063540 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 165063540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250713792).

165063540 is an abundant number, since it is smaller than the sum of its proper divisors (336364044).

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

165063540 is a wasteful number, since it uses less digits than its factorization.

165063540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4015 counting only the distinct ones).

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

The square root of 165063540 is about 12847.7056317461. The cubic root of 165063540 is about 548.5510511791.

The spelling of 165063540 in words is "one hundred sixty-five million, sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3485 3947 4182 6970 7894 8364 10455 11841 13940 15788 19735 20910 23682 39470 41820 47364 59205 67099 78940 118410 134198 161827 201297 236820 268396 323654 335495 402594 485481 647308 670990 805188 809135 970962 1006485 1341980 1618270 1941924 2012970 2427405 2751059 3236540 4025940 4854810 5502118 8253177 9709620 11004236 13755295 16506354 27510590 33012708 41265885 55021180 82531770 165063540