Search a number
-
+
83109840 = 24351131481
BaseRepresentation
bin1001111010000…
…10011111010000
312210101102021020
410331002133100
5132234003330
612125155440
72026264512
oct475023720
9183342236
1083109840
1142a05720
12239bbb80
13142aba28
14b075bb2
15746a210
hex4f427d0

83109840 has 80 divisors (see below), whose sum is σ = 281071296. Its totient is φ = 20147200.

The previous prime is 83109827. The next prime is 83109863. The reversal of 83109840 is 4890138.

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 (33).

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 15 ways as a sum of consecutive naturals, for example, 13101 + ... + 18380.

Almost surely, 283109840 is an apocalyptic number.

83109840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83109840 is an abundant number, since it is smaller than the sum of its proper divisors (197961456).

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

83109840 is a wasteful number, since it uses less digits than its factorization.

83109840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31508 (or 31502 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 83109840 is about 9116.4598392139. The cubic root of 83109840 is about 436.3994039495.

Adding to 83109840 its reverse (4890138), we get a palindrome (87999978).

It can be divided in two parts, 831098 and 40, that added together give a palindrome (831138).

The spelling of 83109840 in words is "eighty-three million, one hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 31481 62962 94443 125924 157405 188886 251848 314810 346291 377772 472215 503696 629620 692582 755544 944430 1038873 1259240 1385164 1511088 1731455 1888860 2077746 2518480 2770328 3462910 3777720 4155492 5194365 5540656 6925820 7555440 8310984 10388730 13851640 16621968 20777460 27703280 41554920 83109840