Search a number
-
+
148299984 = 243575449
BaseRepresentation
bin10001101011011…
…10000011010000
3101100001102100000
420311232003100
5300431044414
622414330000
73450346320
oct1065560320
9340042300
10148299984
1176790a78
12417b9900
1324955191
14159a5280
15d045b09
hex8d6e0d0

148299984 has 120 divisors (see below), whose sum is σ = 491982400. Its totient is φ = 42363648.

The previous prime is 148299979. The next prime is 148300007. The reversal of 148299984 is 489992841.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 148299984.

It is a congruent number.

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, 24492 + ... + 29940.

Almost surely, 2148299984 is an apocalyptic number.

148299984 is a gapful number since it is divisible by the number (14) 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 148299984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245991200).

148299984 is an abundant number, since it is smaller than the sum of its proper divisors (343682416).

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

148299984 is an equidigital number, since it uses as much as digits as its factorization.

148299984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5461 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 148299984 is about 12177.8480857662. The cubic root of 148299984 is about 529.3143905618.

The spelling of 148299984 in words is "one hundred forty-eight million, two hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 5449 6804 9072 10898 13608 16347 21796 27216 32694 38143 43592 49041 65388 76286 87184 98082 114429 130776 147123 152572 196164 228858 261552 294246 305144 343287 392328 441369 457716 588492 610288 686574 784656 882738 915432 1029861 1176984 1324107 1373148 1765476 1830864 2059722 2353968 2648214 2746296 3089583 3530952 4119444 5296428 5492592 6179166 7061904 8238888 9268749 10592856 12358332 16477776 18537498 21185712 24716664 37074996 49433328 74149992 148299984