Search a number
-
+
238389120 = 2732541387
BaseRepresentation
bin11100011010110…
…00011110000000
3121121120102101200
432031120132000
5442011422440
635353301200
75623163004
oct1615303600
9547512350
10238389120
11112623302
1267a04800
133a508868
1423936704
1515dddc30
hexe358780

238389120 has 96 divisors (see below), whose sum is σ = 823207320. Its totient is φ = 63568896.

The previous prime is 238389061. The next prime is 238389121. The reversal of 238389120 is 21983832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238389121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14934 + ... + 26453.

Almost surely, 2238389120 is an apocalyptic number.

238389120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238389120 is an abundant number, since it is smaller than the sum of its proper divisors (584818200).

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

238389120 is a wasteful number, since it uses less digits than its factorization.

238389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41412 (or 41397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 238389120 is about 15439.8549215982. The cubic root of 238389120 is about 620.0529958168.

The spelling of 238389120 in words is "two hundred thirty-eight million, three hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 41387 82774 124161 165548 206935 248322 331096 372483 413870 496644 620805 662192 744966 827740 993288 1241610 1324384 1489932 1655480 1862415 1986576 2483220 2648768 2979864 3310960 3724830 3973152 4966440 5297536 5959728 6621920 7449660 7946304 9932880 11919456 13243840 14899320 15892608 19865760 23838912 26487680 29798640 39731520 47677824 59597280 79463040 119194560 238389120