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148165040 = 24519107911
BaseRepresentation
bin10001101010011…
…01000110110000
3101022210120020002
420311031012300
5300412240130
622411405132
73446245022
oct1065150660
9338716202
10148165040
11766a9651
12417537a8
132490892a
141596c012
15d01ab45
hex8d4d1b0

148165040 has 80 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 55560960.

The previous prime is 148165019. The next prime is 148165063. The reversal of 148165040 is 40561841.

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

It is a junction number, because it is equal to n+sod(n) for n = 148164994 and 148165012.

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, 162185 + ... + 163095.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2148165040 is an apocalyptic number.

148165040 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 148165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

148165040 is an abundant number, since it is smaller than the sum of its proper divisors (218240080).

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

148165040 is a wasteful number, since it uses less digits than its factorization.

148165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 148165040 is about 12172.3062728474. The cubic root of 148165040 is about 529.1537938327.

The spelling of 148165040 in words is "one hundred forty-eight million, one hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 107 152 190 214 304 380 428 535 760 856 911 1070 1520 1712 1822 2033 2140 3644 4066 4280 4555 7288 8132 8560 9110 10165 14576 16264 17309 18220 20330 32528 34618 36440 40660 69236 72880 81320 86545 97477 138472 162640 173090 194954 276944 346180 389908 487385 692360 779816 974770 1384720 1559632 1852063 1949540 3704126 3899080 7408252 7798160 9260315 14816504 18520630 29633008 37041260 74082520 148165040