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26970120 = 23325193943
BaseRepresentation
bin110011011100…
…0100000001000
31212202020001100
41212320200020
523401020440
62402021400
7445146042
oct146704010
955666040
1026970120
1114251061
129047860
135783b68
143820a92
15257b230
hex19b8808

26970120 has 96 divisors (see below), whose sum is σ = 92289600. Its totient is φ = 6811776.

The previous prime is 26970107. The next prime is 26970121. The reversal of 26970120 is 2107962.

It is not an unprimeable number, because it can be changed into a prime (26970121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4869 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (961350).

Almost surely, 226970120 is an apocalyptic number.

26970120 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 26970120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46144800).

26970120 is an abundant number, since it is smaller than the sum of its proper divisors (65319480).

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

26970120 is a wasteful number, since it uses less digits than its factorization.

26970120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 26970120 is about 5193.2764224524. The cubic root of 26970120 is about 299.8892924845.

The spelling of 26970120 in words is "twenty-six million, nine hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 3943 6840 7886 11829 15772 19715 23658 31544 35487 39430 47316 59145 70974 74917 78860 94632 118290 141948 149834 157720 177435 224751 236580 283896 299668 354870 374585 449502 473160 599336 674253 709740 749170 899004 1123755 1348506 1419480 1498340 1798008 2247510 2697012 2996680 3371265 4495020 5394024 6742530 8990040 13485060 26970120