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148149600 = 2535261729
BaseRepresentation
bin10001101010010…
…01010101100000
3101022202210001020
420311021111200
5300411241400
622411205440
73446152014
oct1065112540
9338683036
10148149600
1176698a95
1241746880
13249018b1
1415966544
15d0162a0
hex8d49560

148149600 has 72 divisors (see below), whose sum is σ = 482234760. Its totient is φ = 39505920.

The previous prime is 148149587. The next prime is 148149613. The reversal of 148149600 is 6941841.

It is an interprime number because it is at equal distance from previous prime (148149587) and next prime (148149613).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28465 + ... + 33264.

It is an arithmetic number, because the mean of its divisors is an integer number (6697705).

Almost surely, 2148149600 is an apocalyptic number.

148149600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148149600 is an abundant number, since it is smaller than the sum of its proper divisors (334085160).

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

148149600 is a wasteful number, since it uses less digits than its factorization.

148149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61752 (or 61739 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 148149600 is about 12171.6720297583. The cubic root of 148149600 is about 529.1354124871.

The spelling of 148149600 in words is "one hundred forty-eight million, one hundred forty-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 61729 123458 185187 246916 308645 370374 493832 617290 740748 925935 987664 1234580 1481496 1543225 1851870 1975328 2469160 2962992 3086450 3703740 4629675 4938320 5925984 6172900 7407480 9259350 9876640 12345800 14814960 18518700 24691600 29629920 37037400 49383200 74074800 148149600