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148214080 = 2657127521
BaseRepresentation
bin10001101010110…
…01000101000000
3101022220001111101
420311121011000
5300420322310
622412424144
73446541010
oct1065310500
9338801441
10148214080
1176732483
1241778054
1324925051
1415981c40
15d02a43a
hex8d59140

148214080 has 112 divisors (see below), whose sum is σ = 407310336. Its totient is φ = 50319360.

The previous prime is 148214071. The next prime is 148214111. The reversal of 148214080 is 80412841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284220 + ... + 284740.

Almost surely, 2148214080 is an apocalyptic number.

148214080 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 148214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203655168).

148214080 is an abundant number, since it is smaller than the sum of its proper divisors (259096256).

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

148214080 is a wasteful number, since it uses less digits than its factorization.

148214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 148214080 is about 12174.3205149199. The cubic root of 148214080 is about 529.2121675660.

The spelling of 148214080 in words is "one hundred forty-eight million, two hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 224 254 280 320 448 508 521 560 635 889 1016 1042 1120 1270 1778 2032 2084 2240 2540 2605 3556 3647 4064 4168 4445 5080 5210 7112 7294 8128 8336 8890 10160 10420 14224 14588 16672 17780 18235 20320 20840 28448 29176 33344 35560 36470 40640 41680 56896 58352 66167 71120 72940 83360 116704 132334 142240 145880 166720 233408 264668 284480 291760 330835 463169 529336 583520 661670 926338 1058672 1167040 1323340 1852676 2117344 2315845 2646680 3705352 4234688 4631690 5293360 7410704 9263380 10586720 14821408 18526760 21173440 29642816 37053520 74107040 148214080