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149037840 = 2433579857
BaseRepresentation
bin10001110001000…
…10001100010000
3101101102220111000
420320202030100
5301123202330
622442222000
73456541440
oct1070421420
9341386430
10149037840
1177145376
1241ab4900
1324b52c93
1415b18120
15d13e560
hex8e22310

149037840 has 160 divisors (see below), whose sum is σ = 586748160. Its totient is φ = 34062336.

The previous prime is 149037821. The next prime is 149037851. The reversal of 149037840 is 48730941.

It is a happy number.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 149037795 and 149037804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10192 + ... + 20048.

It is an arithmetic number, because the mean of its divisors is an integer number (3667176).

Almost surely, 2149037840 is an apocalyptic number.

149037840 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 149037840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293374080).

149037840 is an abundant number, since it is smaller than the sum of its proper divisors (437710320).

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

149037840 is a wasteful number, since it uses less digits than its factorization.

149037840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149037840 is about 12208.1055041313. The cubic root of 149037840 is about 530.1907940113.

The spelling of 149037840 in words is "one hundred forty-nine million, thirty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 9857 15120 19714 29571 39428 49285 59142 68999 78856 88713 98570 118284 137998 147855 157712 177426 197140 206997 236568 266139 275996 295710 344995 354852 394280 413994 443565 473136 532278 551992 591420 620991 689990 709704 788560 827988 887130 1034985 1064556 1103984 1182840 1241982 1330695 1379980 1419408 1655976 1774260 1862973 2069970 2129112 2365680 2483964 2661390 2759960 3104955 3311952 3548520 3725946 4139940 4258224 4967928 5322780 5519920 6209910 7097040 7451892 8279880 9314865 9935856 10645560 12419820 14903784 16559760 18629730 21291120 24839640 29807568 37259460 49679280 74518920 149037840