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149185360 = 2452389911
BaseRepresentation
bin10001110010001…
…10001101010000
3101101201101211201
420321012031100
5301142412420
622445320544
73461024512
oct1071061520
9341641751
10149185360
1177236195
1241b66154
1324ba517c
1415b55bb2
15d16d10a
hex8e46350

149185360 has 80 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 56376320.

The previous prime is 149185343. The next prime is 149185373. The reversal of 149185360 is 63581941.

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

It is a congruent number.

It is an unprimeable number.

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, 163305 + ... + 164215.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2149185360 is an apocalyptic number.

149185360 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 149185360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

149185360 is an abundant number, since it is smaller than the sum of its proper divisors (217219760).

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

149185360 is a wasteful number, since it uses less digits than its factorization.

149185360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 149185360 is about 12214.1458972783. The cubic root of 149185360 is about 530.3656667246.

The spelling of 149185360 in words is "one hundred forty-nine million, one hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 89 92 115 178 184 230 356 368 445 460 712 890 911 920 1424 1780 1822 1840 2047 3560 3644 4094 4555 7120 7288 8188 9110 10235 14576 16376 18220 20470 20953 32752 36440 40940 41906 72880 81079 81880 83812 104765 162158 163760 167624 209530 324316 335248 405395 419060 648632 810790 838120 1297264 1621580 1676240 1864817 3243160 3729634 6486320 7459268 9324085 14918536 18648170 29837072 37296340 74592680 149185360