Search a number
-
+
31138200 = 23325217299
BaseRepresentation
bin111011011001…
…0000110011000
32011120222120200
41312302012120
530432410300
63031222200
7525445632
oct166620630
964528520
1031138200
1116638655
12a517960
1365b3092
1441c7a52
152b01200
hex1db2198

31138200 has 72 divisors (see below), whose sum is σ = 104578500. Its totient is φ = 8303040.

The previous prime is 31138193. The next prime is 31138213. The reversal of 31138200 is 283113.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6850 + ... + 10449.

Almost surely, 231138200 is an apocalyptic number.

31138200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31138200 is an abundant number, since it is smaller than the sum of its proper divisors (73440300).

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

31138200 is a wasteful number, since it uses less digits than its factorization.

31138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17321 (or 17309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31138200 is about 5580.1612879916. The cubic root of 31138200 is about 314.6041891742.

The spelling of 31138200 in words is "thirty-one million, one hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 17299 34598 51897 69196 86495 103794 138392 155691 172990 207588 259485 311382 345980 415176 432475 518970 622764 691960 778455 864950 1037940 1245528 1297425 1556910 1729900 2075880 2594850 3113820 3459800 3892275 5189700 6227640 7784550 10379400 15569100 31138200