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148983720 = 233511310987
BaseRepresentation
bin10001110000101…
…00111110101000
3101101100011020120
420320110332220
5301114434340
622441123240
73456224604
oct1070247650
9341304216
10148983720
1177108746
1241a89520
1324b34462
1415b02504
15d12d4d0
hex8e14fa8

148983720 has 64 divisors (see below), whose sum is σ = 450947520. Its totient is φ = 39373824.

The previous prime is 148983713. The next prime is 148983721. The reversal of 148983720 is 27389841.

It is a super-2 number, since 2×1489837202 = 44392297650076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148983721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8067 + ... + 19053.

It is an arithmetic number, because the mean of its divisors is an integer number (7046055).

Almost surely, 2148983720 is an apocalyptic number.

148983720 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 148983720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225473760).

148983720 is an abundant number, since it is smaller than the sum of its proper divisors (301963800).

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

148983720 is a wasteful number, since it uses less digits than its factorization.

148983720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 148983720 is about 12205.8887427340. Note that the first 3 decimals coincide. The cubic root of 148983720 is about 530.1266103121.

The spelling of 148983720 in words is "one hundred forty-eight million, nine hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 10987 13560 21974 32961 43948 54935 65922 87896 109870 131844 164805 219740 263688 329610 439480 659220 1241531 1318440 2483062 3724593 4966124 6207655 7449186 9932248 12415310 14898372 18622965 24830620 29796744 37245930 49661240 74491860 148983720