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148656640 = 295115279
BaseRepresentation
bin10001101110001…
…01001000000000
3101100201112120111
420313011020000
5301024003030
622430121104
73453363166
oct1067051000
9340645514
10148656640
1176a04a30
1241950194
1324a4b612
1415a59236
15d0b662a
hex8dc5200

148656640 has 80 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 54046720.

The previous prime is 148656623. The next prime is 148656643. The reversal of 148656640 is 46656841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 148656593 and 148656602.

It is not an unprimeable number, because it can be changed into a prime (148656643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25521 + ... + 30799.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2148656640 is an apocalyptic number.

148656640 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 148656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

148656640 is an abundant number, since it is smaller than the sum of its proper divisors (240247040).

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

148656640 is an equidigital number, since it uses as much as digits as its factorization.

148656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 148656640 is about 12192.4829300680. The cubic root of 148656640 is about 529.7383780571.

The spelling of 148656640 in words is "one hundred forty-eight million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5279 5632 7040 10558 14080 21116 26395 28160 42232 52790 58069 84464 105580 116138 168928 211160 232276 290345 337856 422320 464552 580690 675712 844640 929104 1161380 1351424 1689280 1858208 2322760 2702848 3378560 3716416 4645520 6757120 7432832 9291040 13514240 14865664 18582080 29731328 37164160 74328320 148656640