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26327040 = 21135857
BaseRepresentation
bin110010001101…
…1100000000000
31211112112220120
41210123200000
523214431130
62340140240
7436530135
oct144334000
954475816
1026327040
1113951993
128997680
1355ba23c
1436d458c
1524a0910
hex191b800

26327040 has 96 divisors (see below), whose sum is σ = 84324240. Its totient is φ = 7012352.

The previous prime is 26327023. The next prime is 26327057. The reversal of 26327040 is 4072362.

It is an interprime number because it is at equal distance from previous prime (26327023) and next prime (26327057).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×263270402 = 1386226070323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26327040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30292 + ... + 31148.

Almost surely, 226327040 is an apocalyptic number.

26327040 is a gapful number since it is divisible by the number (20) 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 26327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42162120).

26327040 is an abundant number, since it is smaller than the sum of its proper divisors (57997200).

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

26327040 is an equidigital number, since it uses as much as digits as its factorization.

26327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 26327040 is about 5130.9882089126. The cubic root of 26327040 is about 297.4865563682.

The spelling of 26327040 in words is "twenty-six million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 857 960 1024 1280 1536 1714 1920 2048 2560 2571 3072 3428 3840 4285 5120 5142 6144 6856 7680 8570 10240 10284 12855 13712 15360 17140 20568 25710 27424 30720 34280 41136 51420 54848 68560 82272 102840 109696 137120 164544 205680 219392 274240 329088 411360 438784 548480 658176 822720 877568 1096960 1316352 1645440 1755136 2193920 2632704 3290880 4387840 5265408 6581760 8775680 13163520 26327040