Search a number
-
+
26730432 = 263331499
BaseRepresentation
bin110010111110…
…1111111000000
31212022001021000
41211331333000
523320333212
62352532000
7443130201
oct145757700
955261230
1026730432
11140a7a73
128b51000
1356cba31
14379b5a8
1525301dc
hex197dfc0

26730432 has 112 divisors (see below), whose sum is σ = 81280000. Its totient is φ = 8605440.

The previous prime is 26730413. The next prime is 26730433. The reversal of 26730432 is 23403762.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26730396 and 26730405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26730433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53319 + ... + 53817.

Almost surely, 226730432 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 26730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40640000).

26730432 is an abundant number, since it is smaller than the sum of its proper divisors (54549568).

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

26730432 is a wasteful number, since it uses less digits than its factorization.

26730432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 26730432 is about 5170.1481603529. The cubic root of 26730432 is about 298.9982587715.

The spelling of 26730432 in words is "twenty-six million, seven hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 499 558 576 744 837 864 992 998 1116 1488 1497 1674 1728 1984 1996 2232 2976 2994 3348 3992 4464 4491 5952 5988 6696 7984 8928 8982 11976 13392 13473 15469 15968 17856 17964 23952 26784 26946 30938 31936 35928 46407 47904 53568 53892 61876 71856 92814 95808 107784 123752 139221 143712 185628 215568 247504 278442 287424 371256 417663 431136 495008 556884 742512 835326 862272 990016 1113768 1485024 1670652 2227536 2970048 3341304 4455072 6682608 8910144 13365216 26730432