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148183840 = 2557241461
BaseRepresentation
bin10001101010100…
…01101100100000
3101022211112000101
420311101230200
5300413340330
622412032144
73446353600
oct1065215440
9338745011
10148183840
1176711792
1241762654
132491435c
1415974c00
15d0214ca
hex8d51b20

148183840 has 144 divisors (see below), whose sum is σ = 418078584. Its totient is φ = 49459200.

The previous prime is 148183837. The next prime is 148183859. The reversal of 148183840 is 48381841.

It can be written as a sum of positive squares in 4 ways, for example, as 66389904 + 81793936 = 8148^2 + 9044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 148183840.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 321210 + ... + 321670.

Almost surely, 2148183840 is an apocalyptic number.

148183840 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 148183840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209039292).

148183840 is an abundant number, since it is smaller than the sum of its proper divisors (269894744).

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

148183840 is a wasteful number, since it uses less digits than its factorization.

148183840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 148183840 is about 12173.0784931339. The cubic root of 148183840 is about 529.1761735398.

The spelling of 148183840 in words is "one hundred forty-eight million, one hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 392 410 461 490 560 574 656 784 820 922 980 1120 1148 1312 1435 1568 1640 1844 1960 2009 2296 2305 2870 3227 3280 3688 3920 4018 4592 4610 5740 6454 6560 7376 7840 8036 9184 9220 10045 11480 12908 14752 16072 16135 18440 18901 20090 22589 22960 25816 32144 32270 36880 37802 40180 45178 45920 51632 64288 64540 73760 75604 80360 90356 94505 103264 112945 129080 132307 151208 160720 180712 189010 225890 258160 264614 302416 321440 361424 378020 451780 516320 529228 604832 661535 722848 756040 903560 926149 1058456 1323070 1512080 1807120 1852298 2116912 2646140 3024160 3614240 3704596 4233824 4630745 5292280 7409192 9261490 10584560 14818384 18522980 21169120 29636768 37045960 74091920 148183840