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148889520 = 243251315907
BaseRepresentation
bin10001101111111…
…01111110110000
3101101011101000200
420313331332300
5301103431040
622435115200
73455353143
oct1067757660
9341141020
10148889520
117705399a
1241a42b00
1324b00610
1415aba05a
15d110630
hex8dfdfb0

148889520 has 120 divisors (see below), whose sum is σ = 538517616. Its totient is φ = 36647424.

The previous prime is 148889513. The next prime is 148889551. The reversal of 148889520 is 25988841.

It is a happy number.

148889520 is a `hidden beast` number, since 1 + 48 + 8 + 89 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407 + ... + 17313.

Almost surely, 2148889520 is an apocalyptic number.

148889520 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 148889520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269258808).

148889520 is an abundant number, since it is smaller than the sum of its proper divisors (389628096).

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

148889520 is a wasteful number, since it uses less digits than its factorization.

148889520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 148889520 is about 12202.0293394173. The cubic root of 148889520 is about 530.0148565908.

The spelling of 148889520 in words is "one hundred forty-eight million, eight hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 15907 31814 47721 63628 79535 95442 127256 143163 159070 190884 206791 238605 254512 286326 318140 381768 413582 477210 572652 620373 636280 715815 763536 827164 954420 1033955 1145304 1240746 1272560 1431630 1654328 1861119 1908840 2067910 2290608 2481492 2863260 3101865 3308656 3722238 3817680 4135820 4962984 5726520 6203730 7444476 8271640 9305595 9925968 11453040 12407460 14888952 16543280 18611190 24814920 29777904 37222380 49629840 74444760 148889520