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148220640 = 25325102931
BaseRepresentation
bin10001101010110…
…10101011100000
3101022220101111100
420311122223200
5300421030030
622412514400
73446566101
oct1065325340
9338811440
10148220640
11767373a7
124177ba00
1324928029
14159843a8
15d02c360
hex8d5aae0

148220640 has 72 divisors (see below), whose sum is σ = 505807848. Its totient is φ = 39525120.

The previous prime is 148220629. The next prime is 148220651. The reversal of 148220640 is 46022841.

148220640 is a `hidden beast` number, since 14 + 8 + 2 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (148220629) and next prime (148220651).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 50026 + ... + 52905.

It is an arithmetic number, because the mean of its divisors is an integer number (7025109).

Almost surely, 2148220640 is an apocalyptic number.

148220640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148220640 is an abundant number, since it is smaller than the sum of its proper divisors (357587208).

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

148220640 is a wasteful number, since it uses less digits than its factorization.

148220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102952 (or 102941 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 148220640 is about 12174.5899314926. The cubic root of 148220640 is about 529.2199751477.

It can be divided in two parts, 1482 and 20640, that added together give a palindrome (22122).

The spelling of 148220640 in words is "one hundred forty-eight million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 102931 205862 308793 411724 514655 617586 823448 926379 1029310 1235172 1543965 1646896 1852758 2058620 2470344 3087930 3293792 3705516 4117240 4631895 4940688 6175860 7411032 8234480 9263790 9881376 12351720 14822064 16468960 18527580 24703440 29644128 37055160 49406880 74110320 148220640