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149476880 = 2457293911
BaseRepresentation
bin10001110100011…
…01011000010000
3101102021012201202
420322031120100
5301231230010
622455450332
73463350440
oct1072153020
9342235652
10149476880
1177415213
12420869a8
1324c77a77
1415bd0120
15d1c96a5
hex8e8d610

149476880 has 80 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 51018240.

The previous prime is 149476879. The next prime is 149476883. The reversal of 149476880 is 88674941.

149476880 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (149476883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163625 + ... + 164535.

Almost surely, 2149476880 is an apocalyptic number.

149476880 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 149476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

149476880 is an abundant number, since it is smaller than the sum of its proper divisors (249497584).

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

149476880 is a wasteful number, since it uses less digits than its factorization.

149476880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 149476880 is about 12226.0737769735. The cubic root of 149476880 is about 530.7109007792.

The spelling of 149476880 in words is "one hundred forty-nine million, four hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 911 1172 1465 1822 2051 2344 2930 3644 4102 4555 4688 5860 6377 7288 8204 9110 10255 11720 12754 14576 16408 18220 20510 23440 25508 31885 32816 36440 41020 51016 63770 72880 82040 102032 127540 164080 255080 266923 510160 533846 1067692 1334615 1868461 2135384 2669230 3736922 4270768 5338460 7473844 9342305 10676920 14947688 18684610 21353840 29895376 37369220 74738440 149476880