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148515930 = 23451811013
BaseRepresentation
bin10001101101000…
…10110001011010
3101100110101120000
420312202301122
5301010002210
622423113430
73452236023
oct1066426132
9340411500
10148515930
1176919242
12418a2876
13249cc564
1415a1dc4a
15d089ac0
hex8da2c5a

148515930 has 80 divisors (see below), whose sum is σ = 401945544. Its totient is φ = 39346560.

The previous prime is 148515923. The next prime is 148515953. The reversal of 148515930 is 39515841.

148515930 is a `hidden beast` number, since 14 + 8 + 51 + 593 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22155849 + 126360081 = 4707^2 + 11241^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 146104 + ... + 147116.

Almost surely, 2148515930 is an apocalyptic number.

148515930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148515930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200972772).

148515930 is an abundant number, since it is smaller than the sum of its proper divisors (253429614).

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

148515930 is a wasteful number, since it uses less digits than its factorization.

148515930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 148515930 is about 12186.7112052432. The cubic root of 148515930 is about 529.5711851266.

The spelling of 148515930 in words is "one hundred forty-eight million, five hundred fifteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 181 270 362 405 543 810 905 1013 1086 1629 1810 2026 2715 3039 3258 4887 5065 5430 6078 8145 9117 9774 10130 14661 15195 16290 18234 24435 27351 29322 30390 45585 48870 54702 73305 82053 91170 136755 146610 164106 183353 273510 366706 410265 550059 820530 916765 1100118 1650177 1833530 2750295 3300354 4950531 5500590 8250885 9901062 14851593 16501770 24752655 29703186 49505310 74257965 148515930