Search a number
-
+
138426000 = 2435323071
BaseRepresentation
bin10000100000000…
…11011010010000
3100122110202202220
420100003122100
5240414113000
621422541040
73300413226
oct1020033220
9318422686
10138426000
1171157559
123a437780
13228a8a9b
1414554b16
15c2451a0
hex8403690

138426000 has 80 divisors (see below), whose sum is σ = 446304768. Its totient is φ = 36912000.

The previous prime is 138425941. The next prime is 138426011. The reversal of 138426000 is 624831.

It is a happy number.

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 (24).

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, 5536 + ... + 17535.

Almost surely, 2138426000 is an apocalyptic number.

138426000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138426000 is an abundant number, since it is smaller than the sum of its proper divisors (307878768).

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

138426000 is a wasteful number, since it uses less digits than its factorization.

138426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23097 (or 23081 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138426000 is about 11765.4579171403. The cubic root of 138426000 is about 517.2961226350.

The spelling of 138426000 in words is "one hundred thirty-eight million, four hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 23071 46142 69213 92284 115355 138426 184568 230710 276852 346065 369136 461420 553704 576775 692130 922840 1107408 1153550 1384260 1730325 1845680 2307100 2768520 2883875 3460650 4614200 5537040 5767750 6921300 8651625 9228400 11535500 13842600 17303250 23071000 27685200 34606500 46142000 69213000 138426000