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149847360 = 26351312007
BaseRepresentation
bin10001110111001…
…11110101000000
3101102222000221020
420323213311000
5301330103420
622511425440
73466452525
oct1073476500
9342860836
10149847360
11776485a3
1242225280
13250775a0
1415c8914c
15d24e340
hex8ee7d40

149847360 has 112 divisors (see below), whose sum is σ = 512405376. Its totient is φ = 36882432.

The previous prime is 149847359. The next prime is 149847361. The reversal of 149847360 is 63748941.

149847360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149847359) and next prime (149847361).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149847361) 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, 6477 + ... + 18483.

It is an arithmetic number, because the mean of its divisors is an integer number (4575048).

Almost surely, 2149847360 is an apocalyptic number.

149847360 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 149847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256202688).

149847360 is an abundant number, since it is smaller than the sum of its proper divisors (362558016).

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

149847360 is a wasteful number, since it uses less digits than its factorization.

149847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 149847360 is about 12241.2156259091. The cubic root of 149847360 is about 531.1489965304.

The spelling of 149847360 in words is "one hundred forty-nine million, eight hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12007 12480 24014 36021 48028 60035 72042 96056 120070 144084 156091 180105 192112 240140 288168 312182 360210 384224 468273 480280 576336 624364 720420 768448 780455 936546 960560 1152672 1248728 1440840 1560910 1873092 1921120 2305344 2341365 2497456 2881680 3121820 3746184 3842240 4682730 4994912 5763360 6243640 7492368 9365460 9989824 11526720 12487280 14984736 18730920 24974560 29969472 37461840 49949120 74923680 149847360