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26820096 = 29319919
BaseRepresentation
bin110011001001…
…1111000000000
31212110121020220
41212103320000
523331220341
62354503040
7443652462
oct146237000
955417226
1026820096
1114159376
128b94a80
1357307a4
1437c2132
15254ba66
hex1993e00

26820096 has 80 divisors (see below), whose sum is σ = 75292800. Its totient is φ = 8460288.

The previous prime is 26820019. The next prime is 26820097. The reversal of 26820096 is 69002862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26820097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28725 + ... + 29643.

It is an arithmetic number, because the mean of its divisors is an integer number (941160).

Almost surely, 226820096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37646400).

26820096 is an abundant number, since it is smaller than the sum of its proper divisors (48472704).

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

26820096 is an equidigital number, since it uses as much as digits as its factorization.

26820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 26820096 is about 5178.8122190325. The cubic root of 26820096 is about 299.3322034846.

The spelling of 26820096 in words is "twenty-six million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 919 1216 1536 1824 1838 2432 2757 3648 3676 4864 5514 7296 7352 9728 11028 14592 14704 17461 22056 29184 29408 34922 44112 52383 58816 69844 88224 104766 117632 139688 176448 209532 235264 279376 352896 419064 470528 558752 705792 838128 1117504 1411584 1676256 2235008 3352512 4470016 6705024 8940032 13410048 26820096