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149874000 = 2435324979
BaseRepresentation
bin10001110111011…
…10010101010000
3101110000101110220
420323232111100
5301331432000
622512153040
73466623303
oct1073562520
9343011426
10149874000
1177666611
1242238780
1325086753
1415c94b3a
15d2571a0
hex8eee550

149874000 has 80 divisors (see below), whose sum is σ = 483213120. Its totient is φ = 39964800.

The previous prime is 149873987. The next prime is 149874007. The reversal of 149874000 is 478941.

149874000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149874007) 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, 6490 + ... + 18489.

It is an arithmetic number, because the mean of its divisors is an integer number (6040164).

Almost surely, 2149874000 is an apocalyptic number.

149874000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149874000 is an abundant number, since it is smaller than the sum of its proper divisors (333339120).

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

149874000 is a wasteful number, since it uses less digits than its factorization.

149874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25005 (or 24989 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 149874000 is about 12242.3037047771. The cubic root of 149874000 is about 531.1804707160.

The spelling of 149874000 in words is "one hundred forty-nine million, eight hundred seventy-four 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 24979 49958 74937 99916 124895 149874 199832 249790 299748 374685 399664 499580 599496 624475 749370 999160 1198992 1248950 1498740 1873425 1998320 2497900 2997480 3122375 3746850 4995800 5994960 6244750 7493700 9367125 9991600 12489500 14987400 18734250 24979000 29974800 37468500 49958000 74937000 149874000