Search a number
-
+
148819680 = 2534511483
BaseRepresentation
bin10001101111011…
…00111011100000
3101101000211020000
420313230323200
5301044212210
622433420000
73454642422
oct1067547340
9341024200
10148819680
1177006479
1241a0a600
1324aa78a9
1415a9c812
15d0e9ac0
hex8decee0

148819680 has 120 divisors (see below), whose sum is σ = 525255192. Its totient is φ = 39681792.

The previous prime is 148819673. The next prime is 148819721. The reversal of 148819680 is 86918841.

148819680 is a `hidden beast` number, since 1 + 488 + 1 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7219 + ... + 18701.

Almost surely, 2148819680 is an apocalyptic number.

148819680 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 148819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262627596).

148819680 is an abundant number, since it is smaller than the sum of its proper divisors (376435512).

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

148819680 is a wasteful number, since it uses less digits than its factorization.

148819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11493 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 148819680 is about 12199.1671846893. The cubic root of 148819680 is about 529.9319718074.

The spelling of 148819680 in words is "one hundred forty-eight million, eight hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 11483 12960 22966 34449 45932 57415 68898 91864 103347 114830 137796 172245 183728 206694 229660 275592 310041 344490 367456 413388 459320 516735 551184 620082 688980 826776 918640 930123 1033470 1102368 1240164 1377960 1550205 1653552 1837280 1860246 2066940 2480328 2755920 3100410 3307104 3720492 4133880 4650615 4960656 5511840 6200820 7440984 8267760 9301230 9921312 12401640 14881968 16535520 18602460 24803280 29763936 37204920 49606560 74409840 148819680