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148357040 = 24513294919
BaseRepresentation
bin10001101011110…
…11111110110000
3101100011022121012
420311323332300
5300434411130
622415450052
73451004546
oct1065737660
9340138535
10148357040
117681a927
1241826928
1324975140
14159bbd96
15d057995
hex8d7bfb0

148357040 has 80 divisors (see below), whose sum is σ = 384350400. Its totient is φ = 52878336.

The previous prime is 148357003. The next prime is 148357049. The reversal of 148357040 is 40753841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1483570402 = 44019622635123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148356988 and 148357006.

It is not an unprimeable number, because it can be changed into a prime (148357049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27701 + ... + 32619.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2148357040 is an apocalyptic number.

148357040 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 148357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192175200).

148357040 is an abundant number, since it is smaller than the sum of its proper divisors (235993360).

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

148357040 is a wasteful number, since it uses less digits than its factorization.

148357040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 148357040 is about 12180.1904747011. The cubic root of 148357040 is about 529.3822635510.

The spelling of 148357040 in words is "one hundred forty-eight million, three hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 4919 6032 7540 9838 15080 19676 24595 30160 39352 49190 63947 78704 98380 127894 142651 196760 255788 285302 319735 393520 511576 570604 639470 713255 1023152 1141208 1278940 1426510 1854463 2282416 2557880 2853020 3708926 5115760 5706040 7417852 9272315 11412080 14835704 18544630 29671408 37089260 74178520 148357040