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148484640 = 25352910667
BaseRepresentation
bin10001101100110…
…11001000100000
3101100101210122010
420312123020200
5301003002030
622422312520
73452045553
oct1066331040
9340353563
10148484640
11768a7787
1241888740
13249bb245
1415a1269a
15d0806b0
hex8d9b220

148484640 has 96 divisors (see below), whose sum is σ = 483900480. Its totient is φ = 38226944.

The previous prime is 148484629. The next prime is 148484653. The reversal of 148484640 is 46484841.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8587 + ... + 19253.

It is an arithmetic number, because the mean of its divisors is an integer number (5040630).

Almost surely, 2148484640 is an apocalyptic number.

148484640 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 148484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241950240).

148484640 is an abundant number, since it is smaller than the sum of its proper divisors (335415840).

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

148484640 is a wasteful number, since it uses less digits than its factorization.

148484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714 (or 10706 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 148484640 is about 12185.4273622225. The cubic root of 148484640 is about 529.5339917063.

The spelling of 148484640 in words is "one hundred forty-eight million, four hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 10667 13920 21334 32001 42668 53335 64002 85336 106670 128004 160005 170672 213340 256008 309343 320010 341344 426680 512016 618686 640020 853360 928029 1024032 1237372 1280040 1546715 1706720 1856058 2474744 2560080 3093430 3712116 4640145 4949488 5120160 6186860 7424232 9280290 9898976 12373720 14848464 18560580 24747440 29696928 37121160 49494880 74242320 148484640