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65409036 = 223711292441
BaseRepresentation
bin1111100110000…
…1000000001100
311120002010022220
43321201000030
5113221042121
610253535340
71422652620
oct371410014
9146063286
1065409036
1133a15860
1219aa4550
1310721c94
148989180
155b206c6
hex3e6100c

65409036 has 96 divisors (see below), whose sum is σ = 196922880. Its totient is φ = 16396800.

The previous prime is 65409031. The next prime is 65409059. The reversal of 65409036 is 63090456.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 65408988 and 65409006.

It is not an unprimeable number, because it can be changed into a prime (65409031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25576 + ... + 28016.

It is an arithmetic number, because the mean of its divisors is an integer number (2051280).

Almost surely, 265409036 is an apocalyptic number.

65409036 is a gapful number since it is divisible by the number (66) 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 65409036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98461440).

65409036 is an abundant number, since it is smaller than the sum of its proper divisors (131513844).

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

65409036 is a wasteful number, since it uses less digits than its factorization.

65409036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 65409036 is about 8087.5853009412. The cubic root of 65409036 is about 402.9142085767.

It can be divided in two parts, 6540 and 9036, that added together give a triangular number (15576 = T176).

The spelling of 65409036 in words is "sixty-five million, four hundred nine thousand, thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 2441 3828 4466 4882 6699 7323 8932 9764 13398 14646 17087 26796 26851 29292 34174 51261 53702 68348 70789 80553 102522 107404 141578 161106 187957 205044 212367 283156 322212 375914 424734 495523 563871 751828 778679 849468 991046 1127742 1486569 1557358 1982092 2255484 2336037 2973138 3114716 4672074 5450753 5946276 9344148 10901506 16352259 21803012 32704518 65409036