Search a number
-
+
2720432 = 2411132941
BaseRepresentation
bin1010011000001010110000
312010012201202
422120022300
51144023212
6134150332
732060201
oct12301260
95105652
102720432
1115989a0
12ab23a8
13743330
1450b5a8
1538b0c2
hex2982b0

2720432 has 80 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 1075200.

The previous prime is 2720411. The next prime is 2720441. The reversal of 2720432 is 2340272.

It is a happy number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66332 + ... + 66372.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

22720432 is an apocalyptic number.

2720432 is a gapful number since it is divisible by the number (22) 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 2720432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2720432 is an abundant number, since it is smaller than the sum of its proper divisors (3841648).

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

2720432 is a wasteful number, since it uses less digits than its factorization.

2720432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2720432 is about 1649.3732142847. The cubic root of 2720432 is about 139.5980306397.

The spelling of 2720432 in words is "two million, seven hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 41 44 52 58 82 88 104 116 143 164 176 208 232 286 319 328 377 451 464 533 572 638 656 754 902 1066 1144 1189 1276 1508 1804 2132 2288 2378 2552 3016 3608 4147 4264 4756 5104 5863 6032 7216 8294 8528 9512 11726 13079 15457 16588 19024 23452 26158 30914 33176 46904 52316 61828 66352 93808 104632 123656 170027 209264 247312 340054 680108 1360216 2720432