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149247900 = 223352167331
BaseRepresentation
bin10001110010101…
…01011110011100
3101101211120122000
420321111132130
5301201413100
622450522300
73461405034
oct1071253634
9341746560
10149247900
117727917a
1241b96390
1324bc7789
1415b708c4
15d181900
hex8e5579c

149247900 has 144 divisors (see below), whose sum is σ = 484135680. Its totient is φ = 39441600.

The previous prime is 149247887. The next prime is 149247929. The reversal of 149247900 is 9742941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450735 + ... + 451065.

Almost surely, 2149247900 is an apocalyptic number.

149247900 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 149247900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242067840).

149247900 is an abundant number, since it is smaller than the sum of its proper divisors (334887780).

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

149247900 is a wasteful number, since it uses less digits than its factorization.

149247900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149247900 is about 12216.7057752898. The cubic root of 149247900 is about 530.4397679075.

The spelling of 149247900 in words is "one hundred forty-nine million, two hundred forty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 167 180 225 270 300 331 334 450 501 540 662 668 675 835 900 993 1002 1324 1350 1503 1655 1670 1986 2004 2505 2700 2979 3006 3310 3340 3972 4175 4509 4965 5010 5958 6012 6620 7515 8275 8350 8937 9018 9930 10020 11916 12525 14895 15030 16550 16700 17874 18036 19860 22545 24825 25050 29790 30060 33100 35748 37575 44685 45090 49650 50100 55277 59580 74475 75150 89370 90180 99300 110554 112725 148950 150300 165831 178740 221108 223425 225450 276385 297900 331662 446850 450900 497493 552770 663324 829155 893700 994986 1105540 1381925 1492479 1658310 1989972 2487465 2763850 2984958 3316620 4145775 4974930 5527700 5969916 7462395 8291550 9949860 12437325 14924790 16583100 24874650 29849580 37311975 49749300 74623950 149247900