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148515840 = 21032511293
BaseRepresentation
bin10001101101000…
…10110000000000
3101100110101102200
420312202300000
5301010001330
622423113200
73452235534
oct1066426000
9340411380
10148515840
1176919170
12418a2800
13249cc4c5
1415a1dbc4
15d089a60
hex8da2c00

148515840 has 264 divisors, whose sum is σ = 563301648. Its totient is φ = 35880960.

The previous prime is 148515839. The next prime is 148515869. The reversal of 148515840 is 48515841.

It is a tau number, because it is divible by the number of its divisors (264).

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 = 148515795 and 148515804.

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, 506734 + ... + 507026.

Almost surely, 2148515840 is an apocalyptic number.

148515840 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 148515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281650824).

148515840 is an abundant number, since it is smaller than the sum of its proper divisors (414785808).

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

148515840 is a wasteful number, since it uses less digits than its factorization.

148515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 148515840 is about 12186.7075126960. The cubic root of 148515840 is about 529.5710781539.

Subtracting from 148515840 its reverse (48515841), we obtain a palindrome (99999999).

The spelling of 148515840 in words is "one hundred forty-eight million, five hundred fifteen thousand, eight hundred forty".