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148554540 = 223351914479
BaseRepresentation
bin10001101101011…
…00001100101100
3101100112100112000
420312230030230
5301012221130
622424012300
73452456421
oct1066541454
9340470460
10148554540
1176945252
1241901090
1324a13cc4
1415a2dd48
15d096260
hex8dac32c

148554540 has 96 divisors (see below), whose sum is σ = 486528000. Its totient is φ = 37526976.

The previous prime is 148554533. The next prime is 148554541. The reversal of 148554540 is 45455841.

It is a happy number.

It is a super-2 number, since 2×1485545402 = 44136902709223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148554495 and 148554504.

It is not an unprimeable number, because it can be changed into a prime (148554541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (5068000).

Almost surely, 2148554540 is an apocalyptic number.

148554540 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 148554540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243264000).

148554540 is an abundant number, since it is smaller than the sum of its proper divisors (337973460).

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

148554540 is a wasteful number, since it uses less digits than its factorization.

148554540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516 (or 14508 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 148554540 is about 12188.2952048266. The cubic root of 148554540 is about 529.6170723968.

The spelling of 148554540 in words is "one hundred forty-eight million, five hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 14479 28958 43437 57916 72395 86874 130311 144790 173748 217185 260622 275101 289580 390933 434370 521244 550202 651555 781866 825303 868740 1100404 1303110 1375505 1563732 1650606 1954665 2475909 2606220 2751010 3301212 3909330 4126515 4951818 5502020 7427727 7818660 8253030 9903636 12379545 14855454 16506060 24759090 29710908 37138635 49518180 74277270 148554540