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65401020 = 2235513457
BaseRepresentation
bin1111100101111…
…1000010111100
311120001201100000
43321133002330
5113220313040
610253434300
71422620346
oct371370274
9146051300
1065401020
1133a0a833
1219a9b990
131071b439
148986296
155b1d130
hex3e5f0bc

65401020 has 72 divisors (see below), whose sum is σ = 205745904. Its totient is φ = 17438976.

The previous prime is 65401009. The next prime is 65401031. The reversal of 65401020 is 2010456.

It is a happy number.

65401020 is a `hidden beast` number, since 654 + 0 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65401009) and next prime (65401031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 65400984 and 65401002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869 + ... + 11588.

It is an arithmetic number, because the mean of its divisors is an integer number (2857582).

Almost surely, 265401020 is an apocalyptic number.

65401020 is a gapful number since it is divisible by the number (60) 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 65401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102872952).

65401020 is an abundant number, since it is smaller than the sum of its proper divisors (140344884).

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

65401020 is a wasteful number, since it uses less digits than its factorization.

65401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13481 (or 13467 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 65401020 is about 8087.0897113857. The cubic root of 65401020 is about 402.8977486070.

Adding to 65401020 its reverse (2010456), we get a palindrome (67411476).

The spelling of 65401020 in words is "sixty-five million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 13457 26914 40371 53828 67285 80742 121113 134570 161484 201855 242226 269140 363339 403710 484452 605565 726678 807420 1090017 1211130 1453356 1816695 2180034 2422260 3270051 3633390 4360068 5450085 6540102 7266780 10900170 13080204 16350255 21800340 32700510 65401020