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149488960 = 26519231069
BaseRepresentation
bin10001110100100…
…00010101000000
3101102021211022011
420322100111000
5301232121320
622500022304
73463430605
oct1072202500
9342254264
10149488960
11774232a5
1242091994
1324c8040a
1415bd46ac
15d1cd05a
hex8e90540

149488960 has 112 divisors (see below), whose sum is σ = 391363200. Its totient is φ = 54134784.

The previous prime is 149488957. The next prime is 149488981. The reversal of 149488960 is 69884941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139306 + ... + 140374.

Almost surely, 2149488960 is an apocalyptic number.

149488960 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 149488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195681600).

149488960 is an abundant number, since it is smaller than the sum of its proper divisors (241874240).

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

149488960 is a wasteful number, since it uses less digits than its factorization.

149488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 149488960 is about 12226.5677931298. The cubic root of 149488960 is about 530.7251968920.

The spelling of 149488960 in words is "one hundred forty-nine million, four hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 152 160 184 190 230 304 320 368 380 437 460 608 736 760 874 920 1069 1216 1472 1520 1748 1840 2138 2185 3040 3496 3680 4276 4370 5345 6080 6992 7360 8552 8740 10690 13984 17104 17480 20311 21380 24587 27968 34208 34960 40622 42760 49174 68416 69920 81244 85520 98348 101555 122935 139840 162488 171040 196696 203110 245870 324976 342080 393392 406220 467153 491740 649952 786784 812440 934306 983480 1299904 1573568 1624880 1868612 1966960 2335765 3249760 3737224 3933920 4671530 6499520 7474448 7867840 9343060 14948896 18686120 29897792 37372240 74744480 149488960