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11401020 = 2233543491
BaseRepresentation
bin101011011111…
…011100111100
3210110020021000
4223133130330
510404313040
61044210300
7165623061
oct53373474
923406230
1011401020
116487834
123999990
132492487
14172ac68
151003130
hexadf73c

11401020 has 96 divisors (see below), whose sum is σ = 36368640. Its totient is φ = 2963520.

The previous prime is 11401001. The next prime is 11401037. The reversal of 11401020 is 2010411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11400993 and 11401011.

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, 22975 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (378840).

Almost surely, 211401020 is an apocalyptic number.

11401020 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 11401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184320).

11401020 is an abundant number, since it is smaller than the sum of its proper divisors (24967620).

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

11401020 is a wasteful number, since it uses less digits than its factorization.

11401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11401020 is about 3376.5396488121. The cubic root of 11401020 is about 225.0684236344.

Adding to 11401020 its reverse (2010411), we get a palindrome (13411431).

The spelling of 11401020 in words is "eleven million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 491 516 540 645 774 860 982 1161 1290 1473 1548 1935 1964 2322 2455 2580 2946 3870 4419 4644 4910 5805 5892 7365 7740 8838 9820 11610 13257 14730 17676 21113 22095 23220 26514 29460 42226 44190 53028 63339 66285 84452 88380 105565 126678 132570 190017 211130 253356 265140 316695 380034 422260 570051 633390 760068 950085 1140102 1266780 1900170 2280204 2850255 3800340 5700510 11401020