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148285440 = 2113251609
BaseRepresentation
bin10001101011010…
…10100000000000
3101100000200101100
420311222200000
5300430113230
622414134400
73450256032
oct1065524000
9340020340
10148285440
1176781056
12417b1400
132494b684
141599dc52
15d041660
hex8d6a800

148285440 has 144 divisors (see below), whose sum is σ = 514250100. Its totient is φ = 39518208.

The previous prime is 148285433. The next prime is 148285483. The reversal of 148285440 is 44582841.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 8856576 = 11808^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 148285395 and 148285404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91356 + ... + 92964.

Almost surely, 2148285440 is an apocalyptic number.

148285440 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 148285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257125050).

148285440 is an abundant number, since it is smaller than the sum of its proper divisors (365964660).

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

148285440 is a wasteful number, since it uses less digits than its factorization.

148285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 148285440 is about 12177.2509212876. The cubic root of 148285440 is about 529.2970864462.

The spelling of 148285440 in words is "one hundred forty-eight million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1609 1920 2048 2304 2560 2880 3072 3218 3840 4608 4827 5120 5760 6144 6436 7680 8045 9216 9654 10240 11520 12872 14481 15360 16090 18432 19308 23040 24135 25744 28962 30720 32180 38616 46080 48270 51488 57924 64360 72405 77232 92160 96540 102976 115848 128720 144810 154464 193080 205952 231696 257440 289620 308928 386160 411904 463392 514880 579240 617856 772320 823808 926784 1029760 1158480 1235712 1544640 1647616 1853568 2059520 2316960 2471424 3089280 3295232 3707136 4119040 4633920 4942848 6178560 7414272 8238080 9267840 9885696 12357120 14828544 16476160 18535680 24714240 29657088 37071360 49428480 74142720 148285440