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148998080 = 2657116047
BaseRepresentation
bin10001110000110…
…00011111000000
3101101100212221102
420320120133000
5301120414310
622441313532
73456314510
oct1070303700
9341325842
10148998080
1177118510
1241a958a8
1324b3ab5a
1415b07840
15d1328a5
hex8e187c0

148998080 has 112 divisors (see below), whose sum is σ = 442423296. Its totient is φ = 46433280.

The previous prime is 148998079. The next prime is 148998169. The reversal of 148998080 is 80899841.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 21617 + ... + 27663.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 2148998080 is an apocalyptic number.

148998080 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 148998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

148998080 is an abundant number, since it is smaller than the sum of its proper divisors (293425216).

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

148998080 is a wasteful number, since it uses less digits than its factorization.

148998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The square root of 148998080 is about 12206.4769692160. The cubic root of 148998080 is about 530.1436420915.

The spelling of 148998080 in words is "one hundred forty-eight million, nine hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6047 6160 12094 12320 24188 24640 30235 42329 48376 60470 66517 84658 96752 120940 133034 169316 193504 211645 241880 266068 332585 338632 387008 423290 465619 483760 532136 665170 677264 846580 931238 967520 1064272 1330340 1354528 1693160 1862476 1935040 2128544 2328095 2660680 2709056 3386320 3724952 4257088 4656190 5321360 6772640 7449904 9312380 10642720 13545280 14899808 18624760 21285440 29799616 37249520 74499040 148998080