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148058240 = 2751121031
BaseRepresentation
bin10001101001100…
…11000010000000
3101022121010201112
420310303002000
5300400330430
622405222452
73445321451
oct1064630200
9338533645
10148058240
1176636390
1241701a28
132489c135
1415941128
15cee9195
hex8d33080

148058240 has 64 divisors (see below), whose sum is σ = 386147520. Its totient is φ = 53836800.

The previous prime is 148058237. The next prime is 148058249. The reversal of 148058240 is 42850841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 148058197 and 148058206.

It is not an unprimeable number, because it can be changed into a prime (148058249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3476 + ... + 17555.

It is an arithmetic number, because the mean of its divisors is an integer number (6033555).

Almost surely, 2148058240 is an apocalyptic number.

148058240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148058240 is an abundant number, since it is smaller than the sum of its proper divisors (238089280).

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

148058240 is a wasteful number, since it uses less digits than its factorization.

148058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21061 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 148058240 is about 12167.9184744146. The cubic root of 148058240 is about 529.0266221119.

The spelling of 148058240 in words is "one hundred forty-eight million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 21031 42062 84124 105155 168248 210310 231341 336496 420620 462682 672992 841240 925364 1156705 1345984 1682480 1850728 2313410 2691968 3364960 3701456 4626820 6729920 7402912 9253640 13459840 14805824 18507280 29611648 37014560 74029120 148058240