Search a number
-
+
83487390 = 23571792221
BaseRepresentation
bin1001111100111…
…10101010011110
312211002121011120
410332132222132
5132333044030
612141231410
72032426320
oct476365236
9184077146
1083487390
1143143348
1223b62566
13143b182c
14b133610
1574e2010
hex4f9ea9e

83487390 has 64 divisors (see below), whose sum is σ = 230376960. Its totient is φ = 18967680.

The previous prime is 83487379. The next prime is 83487413. The reversal of 83487390 is 9378438.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36480 + ... + 38700.

It is an arithmetic number, because the mean of its divisors is an integer number (3599640).

Almost surely, 283487390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83487390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115188480).

83487390 is an abundant number, since it is smaller than the sum of its proper divisors (146889570).

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

83487390 is a wasteful number, since it uses less digits than its factorization.

83487390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 83487390 is about 9137.1434266952. The cubic root of 83487390 is about 437.0592284625.

The spelling of 83487390 in words is "eighty-three million, four hundred eighty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 210 358 537 895 1074 1253 1790 2221 2506 2685 3759 4442 5370 6265 6663 7518 11105 12530 13326 15547 18795 22210 31094 33315 37590 46641 66630 77735 93282 155470 233205 397559 466410 795118 1192677 1987795 2385354 2782913 3975590 5565826 5963385 8348739 11926770 13914565 16697478 27829130 41743695 83487390