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148334720 = 275415653
BaseRepresentation
bin10001101011101…
…10100010000000
3101100010011222112
420311312202000
5300433202340
622415154452
73450552512
oct1065664200
9340104875
10148334720
1176805086
1241815a28
1324967c31
14159b3bb2
15d051065
hex8d76880

148334720 has 64 divisors (see below), whose sum is σ = 363326040. Its totient is φ = 57876480.

The previous prime is 148334701. The next prime is 148334743. The reversal of 148334720 is 27433841.

It can be written as a sum of positive squares in 4 ways, for example, as 101767744 + 46566976 = 10088^2 + 6824^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 23414 + ... + 29066.

Almost surely, 2148334720 is an apocalyptic number.

148334720 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 148334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181663020).

148334720 is an abundant number, since it is smaller than the sum of its proper divisors (214991320).

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

148334720 is an equidigital number, since it uses as much as digits as its factorization.

148334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 148334720 is about 12179.2741984077. The cubic root of 148334720 is about 529.3557140756.

The spelling of 148334720 in words is "one hundred forty-eight million, three hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 5653 6560 11306 13120 22612 26240 28265 45224 56530 90448 113060 180896 226120 231773 361792 452240 463546 723584 904480 927092 1158865 1808960 1854184 2317730 3617920 3708368 4635460 7416736 9270920 14833472 18541840 29666944 37083680 74167360 148334720