Search a number
-
+
148805640 = 23335211653
BaseRepresentation
bin10001101111010…
…01100000001000
3101101000002222000
420313221200020
5301043240030
622433231000
73454553454
oct1067514010
9341002860
10148805640
1176aa6975
1241a02460
1324aa1399
1415a97664
15d0e5860
hex8de9808

148805640 has 128 divisors (see below), whose sum is σ = 499132800. Its totient is φ = 39432960.

The previous prime is 148805639. The next prime is 148805647. The reversal of 148805640 is 46508841.

148805640 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 0 + 5 + 640 = 666.

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 = 148805595 and 148805604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148805647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 227554 + ... + 228206.

It is an arithmetic number, because the mean of its divisors is an integer number (3899475).

Almost surely, 2148805640 is an apocalyptic number.

148805640 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 148805640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249566400).

148805640 is an abundant number, since it is smaller than the sum of its proper divisors (350327160).

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

148805640 is a wasteful number, since it uses less digits than its factorization.

148805640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 148805640 is about 12198.5917219981. The cubic root of 148805640 is about 529.9153062721.

The spelling of 148805640 in words is "one hundred forty-eight million, eight hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 211 216 270 360 422 540 633 653 844 1055 1080 1266 1306 1688 1899 1959 2110 2532 2612 3165 3265 3798 3918 4220 5064 5224 5697 5877 6330 6530 7596 7836 8440 9495 9795 11394 11754 12660 13060 15192 15672 17631 18990 19590 22788 23508 25320 26120 28485 29385 35262 37980 39180 45576 47016 56970 58770 70524 75960 78360 88155 113940 117540 137783 141048 176310 227880 235080 275566 352620 413349 551132 688915 705240 826698 1102264 1240047 1377830 1653396 2066745 2480094 2755660 3306792 3720141 4133490 4960188 5511320 6200235 7440282 8266980 9920376 12400470 14880564 16533960 18600705 24800940 29761128 37201410 49601880 74402820 148805640