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149501340 = 223255315671
BaseRepresentation
bin10001110100100…
…11010110011100
3101102022110021200
420322103112130
5301233020330
622500155500
73463511652
oct1072232634
9342273250
10149501340
117743162a
1242098b90
1324c85c41
1415bd8dd2
15d1d1a60
hex8e9359c

149501340 has 72 divisors (see below), whose sum is σ = 462073248. Its totient is φ = 39112320.

The previous prime is 149501333. The next prime is 149501353. The reversal of 149501340 is 43105941.

149501340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1705 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (6417684).

Almost surely, 2149501340 is an apocalyptic number.

149501340 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 149501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231036624).

149501340 is an abundant number, since it is smaller than the sum of its proper divisors (312571908).

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

149501340 is a wasteful number, since it uses less digits than its factorization.

149501340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15739 (or 15734 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149501340 is about 12227.0740571896. The cubic root of 149501340 is about 530.7398472416.

It can be divided in two parts, 14950 and 1340, that added together give a triangular number (16290 = T180).

The spelling of 149501340 in words is "one hundred forty-nine million, five hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 15671 31342 47013 62684 78355 94026 141039 156710 188052 235065 282078 313420 470130 564156 705195 830563 940260 1410390 1661126 2491689 2820780 3322252 4152815 4983378 7475067 8305630 9966756 12458445 14950134 16611260 24916890 29900268 37375335 49833780 74750670 149501340