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148263840 = 25325195419
BaseRepresentation
bin10001101011001…
…01001110100000
3101022222120202100
420311211032200
5300423420330
622413450400
73450136044
oct1065451640
9338876670
10148263840
11767668aa
12417a0a00
13249418aa
1415996024
15d03a060
hex8d653a0

148263840 has 144 divisors (see below), whose sum is σ = 532677600. Its totient is φ = 37449216.

The previous prime is 148263839. The next prime is 148263887. The reversal of 148263840 is 48362841.

148263840 is a `hidden beast` number, since 14 + 8 + 2 + 638 + 4 + 0 = 666.

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 = 148263795 and 148263804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24651 + ... + 30069.

It is an arithmetic number, because the mean of its divisors is an integer number (3699150).

Almost surely, 2148263840 is an apocalyptic number.

148263840 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 148263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266338800).

148263840 is an abundant number, since it is smaller than the sum of its proper divisors (384413760).

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

148263840 is a wasteful number, since it uses less digits than its factorization.

148263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 148263840 is about 12176.3639893032. The cubic root of 148263840 is about 529.2713851766.

Subtracting from 148263840 its reverse (48362841), we obtain a palindrome (99900999).

The spelling of 148263840 in words is "one hundred forty-eight million, two hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5419 5472 6840 9120 10838 13680 16257 21676 27095 27360 32514 43352 48771 54190 65028 81285 86704 97542 102961 108380 130056 162570 173408 195084 205922 216760 243855 260112 308883 325140 390168 411844 433520 487710 514805 520224 617766 650280 780336 823688 867040 926649 975420 1029610 1235532 1300560 1544415 1560672 1647376 1853298 1950840 2059220 2471064 2601120 3088830 3294752 3706596 3901680 4118440 4633245 4942128 6177660 7413192 7803360 8236880 9266490 9884256 12355320 14826384 16473760 18532980 24710640 29652768 37065960 49421280 74131920 148263840