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26679420 = 223251929269
BaseRepresentation
bin110010111000…
…1100001111100
31212012110021200
41211301201330
523312220140
62351455500
7442525365
oct145614174
955173250
1026679420
1114072709
128b27590
1356b1751
143786b6c
152520030
hex197187c

26679420 has 144 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 6483456.

The previous prime is 26679407. The next prime is 26679431. The reversal of 26679420 is 2497662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99046 + ... + 99314.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 226679420 is an apocalyptic number.

26679420 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 26679420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226000).

26679420 is an abundant number, since it is smaller than the sum of its proper divisors (61772580).

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

26679420 is a wasteful number, since it uses less digits than its factorization.

26679420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 26679420 is about 5165.2124835286. The cubic root of 26679420 is about 298.8079362203.

The spelling of 26679420 in words is "twenty-six million, six hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 269 285 290 342 348 380 435 522 538 551 570 580 684 807 855 870 1044 1076 1102 1140 1305 1345 1614 1653 1710 1740 2204 2421 2610 2690 2755 3228 3306 3420 4035 4842 4959 5111 5220 5380 5510 6612 7801 8070 8265 9684 9918 10222 11020 12105 15333 15602 16140 16530 19836 20444 23403 24210 24795 25555 30666 31204 33060 39005 45999 46806 48420 49590 51110 61332 70209 76665 78010 91998 93612 99180 102220 117015 140418 148219 153330 156020 183996 229995 234030 280836 296438 306660 351045 444657 459990 468060 592876 702090 741095 889314 919980 1333971 1404180 1482190 1778628 2223285 2667942 2964380 4446570 5335884 6669855 8893140 13339710 26679420