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151495120 = 2457270527
BaseRepresentation
bin10010000011110…
…10000111010000
3101120001202020101
421001322013100
5302240320440
623011022144
73516454510
oct1101720720
9346052211
10151495120
1178573587
124289a954
13255035aa
1416197840
15d47769a
hex907a1d0

151495120 has 40 divisors (see below), whose sum is σ = 402545664. Its totient is φ = 51940992.

The previous prime is 151495117. The next prime is 151495121. The reversal of 151495120 is 21594151.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151495121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 134704 + ... + 135823.

Almost surely, 2151495120 is an apocalyptic number.

151495120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151495120 is an abundant number, since it is smaller than the sum of its proper divisors (251050544).

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

151495120 is a wasteful number, since it uses less digits than its factorization.

151495120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270547 (or 270541 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 151495120 is about 12308.3353870456. The cubic root of 151495120 is about 533.0887871924.

The spelling of 151495120 in words is "one hundred fifty-one million, four hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 270527 541054 1082108 1352635 1893689 2164216 2705270 3787378 4328432 5410540 7574756 9468445 10821080 15149512 18936890 21642160 30299024 37873780 75747560 151495120