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148308680 = 235131719883
BaseRepresentation
bin10001101011100…
…00001011001000
3101100001212021002
420311300023020
5300431334210
622414434132
73450413552
oct1065601310
9340055232
10148308680
1176797563
1241802948
1324959120
14159a84d2
15d0484a5
hex8d702c8

148308680 has 128 divisors (see below), whose sum is σ = 400982400. Its totient is φ = 48771072.

The previous prime is 148308653. The next prime is 148308683. The reversal of 148308680 is 86803841.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (148308683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 167519 + ... + 168401.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2148308680 is an apocalyptic number.

148308680 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 148308680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

148308680 is an abundant number, since it is smaller than the sum of its proper divisors (252673720).

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

148308680 is a wasteful number, since it uses less digits than its factorization.

148308680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 148308680 is about 12178.2051222666. The cubic root of 148308680 is about 529.3247363214.

The spelling of 148308680 in words is "one hundred forty-eight million, three hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 19 20 26 34 38 40 52 65 68 76 85 95 104 130 136 152 170 190 221 247 260 323 340 380 442 494 520 646 680 760 883 884 988 1105 1235 1292 1615 1766 1768 1976 2210 2470 2584 3230 3532 4199 4415 4420 4940 6460 7064 8398 8830 8840 9880 11479 12920 15011 16777 16796 17660 20995 22958 30022 33554 33592 35320 41990 45916 57395 60044 67108 75055 83885 83980 91832 114790 120088 134216 150110 167770 167960 195143 218101 229580 285209 300220 335540 390286 436202 459160 570418 600440 671080 780572 872404 975715 1090505 1140836 1426045 1561144 1744808 1951430 2181010 2281672 2852090 3707717 3902860 4362020 5704180 7415434 7805720 8724040 11408360 14830868 18538585 29661736 37077170 74154340 148308680