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148429980 = 2232543127151
BaseRepresentation
bin10001101100011…
…01110010011100
3101100022000122200
420312031302130
5300444224410
622421211500
73451430316
oct1066156234
9340260580
10148429980
117686a706
1241860b90
132499c3ba
14159da7b6
15d06e3c0
hex8d8dc9c

148429980 has 144 divisors (see below), whose sum is σ = 467410944. Its totient is φ = 38102400.

The previous prime is 148429969. The next prime is 148429997. The reversal of 148429980 is 89924841.

148429980 is a `hidden beast` number, since 1 + 484 + 2 + 99 + 80 = 666.

148429980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982905 + ... + 983055.

Almost surely, 2148429980 is an apocalyptic number.

148429980 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 148429980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233705472).

148429980 is an abundant number, since it is smaller than the sum of its proper divisors (318980964).

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

148429980 is a wasteful number, since it uses less digits than its factorization.

148429980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 148429980 is about 12183.1843128141. The cubic root of 148429980 is about 529.4690065775.

It can be divided in two parts, 148 and 429980, that added together give a triangular number (430128 = T927).

The spelling of 148429980 in words is "one hundred forty-eight million, four hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 127 129 151 172 180 215 254 258 302 381 387 430 453 508 516 604 635 645 755 762 774 860 906 1143 1270 1290 1359 1510 1524 1548 1812 1905 1935 2265 2286 2540 2580 2718 3020 3810 3870 4530 4572 5436 5461 5715 6493 6795 7620 7740 9060 10922 11430 12986 13590 16383 19177 19479 21844 22860 25972 27180 27305 32465 32766 38354 38958 49149 54610 57531 58437 64930 65532 76708 77916 81915 95885 97395 98298 109220 115062 116874 129860 163830 172593 191770 194790 196596 230124 233748 245745 287655 292185 327660 345186 383540 389580 491490 575310 584370 690372 824611 862965 982980 1150620 1168740 1649222 1725930 2473833 3298444 3451860 4123055 4947666 7421499 8246110 9895332 12369165 14842998 16492220 24738330 29685996 37107495 49476660 74214990 148429980