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151313040 = 24325210157
BaseRepresentation
bin10010000010011…
…01101010010000
3101112201111110200
421001031222100
5302214004130
623003055200
73515065614
oct1101155220
9345644420
10151313040
11784597aa
1242811500
132546b758
141614b344
15d43d760
hex904da90

151313040 has 60 divisors (see below), whose sum is σ = 508162044. Its totient is φ = 40349952.

The previous prime is 151313011. The next prime is 151313047. The reversal of 151313040 is 40313151.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 90098064 = 7824^2 + 9492^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (151313047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104359 + ... + 105798.

Almost surely, 2151313040 is an apocalyptic number.

151313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151313040 is an abundant number, since it is smaller than the sum of its proper divisors (356849004).

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

151313040 is a wasteful number, since it uses less digits than its factorization.

151313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210176 (or 210167 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151313040 is about 12300.9365497104. The cubic root of 151313040 is about 532.8751307628.

Adding to 151313040 its reverse (40313151), we get a palindrome (191626191).

The spelling of 151313040 in words is "one hundred fifty-one million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 210157 420314 630471 840628 1050785 1260942 1681256 1891413 2101570 2521884 3152355 3362512 3782826 4203140 5043768 6304710 7565652 8406280 9457065 10087536 12609420 15131304 16812560 18914130 25218840 30262608 37828260 50437680 75656520 151313040