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149053840 = 24513251571
BaseRepresentation
bin10001110001001…
…10000110010000
3101101110201102121
420320212012100
5301124210330
622442424024
73456636205
oct1070460620
9341421377
10149053840
11771563a1
1241b02014
1324b5a350
1415b1dcac
15d14417a
hex8e26190

149053840 has 80 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 54720000.

The previous prime is 149053831. The next prime is 149053847. The reversal of 149053840 is 48350941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 149053796 and 149053805.

It is not an unprimeable number, because it can be changed into a prime (149053847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260755 + ... + 261325.

Almost surely, 2149053840 is an apocalyptic number.

149053840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

149053840 is an abundant number, since it is smaller than the sum of its proper divisors (226297136).

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

149053840 is a wasteful number, since it uses less digits than its factorization.

149053840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 149053840 is about 12208.7607888762. The cubic root of 149053840 is about 530.2097662606.

The spelling of 149053840 in words is "one hundred forty-nine million, fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 251 260 502 520 571 1004 1040 1142 1255 2008 2284 2510 2855 3263 4016 4568 5020 5710 6526 7423 9136 10040 11420 13052 14846 16315 20080 22840 26104 29692 32630 37115 45680 52208 59384 65260 74230 118768 130520 143321 148460 261040 286642 296920 573284 593840 716605 1146568 1433210 1863173 2293136 2866420 3726346 5732840 7452692 9315865 11465680 14905384 18631730 29810768 37263460 74526920 149053840