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148606080 = 2735711057
BaseRepresentation
bin10001101101110…
…00110010000000
3101100121222012220
420312320302000
5301020343310
622425051040
73453062610
oct1066706200
9340558186
10148606080
117697aa47
1241926a80
1324a315bc
1415a44a40
15d0a6670
hex8db8c80

148606080 has 128 divisors (see below), whose sum is σ = 541399680. Its totient is φ = 33964032.

The previous prime is 148606069. The next prime is 148606093. The reversal of 148606080 is 80606841.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 7912 + ... + 18968.

It is an arithmetic number, because the mean of its divisors is an integer number (4229685).

Almost surely, 2148606080 is an apocalyptic number.

148606080 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 148606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270699840).

148606080 is an abundant number, since it is smaller than the sum of its proper divisors (392793600).

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

148606080 is a wasteful number, since it uses less digits than its factorization.

148606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11086 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 148606080 is about 12190.4093450548. The cubic root of 148606080 is about 529.6783143437.

The spelling of 148606080 in words is "one hundred forty-eight million, six hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 11057 13440 22114 33171 44228 55285 66342 77399 88456 110570 132684 154798 165855 176912 221140 232197 265368 309596 331710 353824 386995 442280 464394 530736 619192 663420 707648 773990 884560 928788 1061472 1160985 1238384 1326840 1415296 1547980 1769120 1857576 2122944 2321970 2476768 2653680 3095960 3538240 3715152 4245888 4643940 4953536 5307360 6191920 7076480 7430304 9287880 9907072 10614720 12383840 14860608 18575760 21229440 24767680 29721216 37151520 49535360 74303040 148606080