Search a number
-
+
28315440 = 2433513109
BaseRepresentation
bin110110000000…
…0111100110000
31222021120111000
41230000330300
524222043230
62450522000
7462451206
oct154007460
958246430
1028315440
1114a8a89a
129596300
135b352ca
143a91076
152744b60
hex1b00f30

28315440 has 80 divisors (see below), whose sum is σ = 97538400. Its totient is φ = 7550208.

The previous prime is 28315433. The next prime is 28315481. The reversal of 28315440 is 4451382.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 4395 + ... + 8714.

It is an arithmetic number, because the mean of its divisors is an integer number (1219230).

Almost surely, 228315440 is an apocalyptic number.

28315440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28315440 is an abundant number, since it is smaller than the sum of its proper divisors (69222960).

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

28315440 is a wasteful number, since it uses less digits than its factorization.

28315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13119 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28315440 is about 5321.2254227762. The cubic root of 28315440 is about 304.7949531063.

The spelling of 28315440 in words is "twenty-eight million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 13109 26218 39327 52436 65545 78654 104872 117981 131090 157308 196635 209744 235962 262180 314616 353943 393270 471924 524360 589905 629232 707886 786540 943848 1048720 1179810 1415772 1573080 1769715 1887696 2359620 2831544 3146160 3539430 4719240 5663088 7078860 9438480 14157720 28315440