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148189720 = 235741543
BaseRepresentation
bin10001101010100…
…11001000011000
3101022211211002011
420311103020120
5300414032340
622412115304
73446410000
oct1065231030
9338754064
10148189720
1176716148
1241765b34
1324916c33
1415977000
15d0230ea
hex8d53218

148189720 has 80 divisors (see below), whose sum is σ = 389226960. Its totient is φ = 50774976.

The previous prime is 148189673. The next prime is 148189771. The reversal of 148189720 is 27981841.

It is a happy number.

It is a super-2 number, since 2×1481897202 = 43920386227356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 19 ways as a sum of consecutive naturals, for example, 95269 + ... + 96811.

It is an arithmetic number, because the mean of its divisors is an integer number (4865337).

Almost surely, 2148189720 is an apocalyptic number.

148189720 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 148189720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194613480).

148189720 is an abundant number, since it is smaller than the sum of its proper divisors (241037240).

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

148189720 is an equidigital number, since it uses as much as digits as its factorization.

148189720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 148189720 is about 12173.3200072946. The cubic root of 148189720 is about 529.1831727617.

The spelling of 148189720 in words is "one hundred forty-eight million, one hundred eighty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1543 1715 1960 2401 2744 3086 3430 4802 6172 6860 7715 9604 10801 12005 12344 13720 15430 19208 21602 24010 30860 43204 48020 54005 61720 75607 86408 96040 108010 151214 216020 302428 378035 432040 529249 604856 756070 1058498 1512140 2116996 2646245 3024280 3704743 4233992 5292490 7409486 10584980 14818972 18523715 21169960 29637944 37047430 74094860 148189720