[go: up one dir, main page]

Search a number
-
+
26754420 = 22357115791
BaseRepresentation
bin110011000001…
…1110101110100
31212100021011110
41212003311310
523322120140
62353235020
7443260140
oct146036564
955307143
1026754420
1114113aa0
128b62a70
135709924
1437a6220
152537380
hex1983d74

26754420 has 96 divisors (see below), whose sum is σ = 93413376. Its totient is φ = 5558400.

The previous prime is 26754419. The next prime is 26754437. The reversal of 26754420 is 2445762.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1725 + ... + 7515.

It is an arithmetic number, because the mean of its divisors is an integer number (973056).

Almost surely, 226754420 is an apocalyptic number.

26754420 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 26754420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46706688).

26754420 is an abundant number, since it is smaller than the sum of its proper divisors (66658956).

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

26754420 is a wasteful number, since it uses less digits than its factorization.

26754420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 26754420 is about 5172.4674962729. The cubic root of 26754420 is about 299.0876727871.

The spelling of 26754420 in words is "twenty-six million, seven hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 5791 11582 17373 23164 28955 34746 40537 57910 63701 69492 81074 86865 115820 121611 127402 162148 173730 191103 202685 243222 254804 318505 347460 382206 405370 445907 486444 608055 637010 764412 810740 891814 955515 1216110 1274020 1337721 1783628 1911030 2229535 2432220 2675442 3822060 4459070 5350884 6688605 8918140 13377210 26754420