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151377840 = 24325210247
BaseRepresentation
bin10010000010111…
…01011110110000
3101112211210100200
421001131132300
5302223042330
623004315200
73515455545
oct1101353660
9345753320
10151377840
11784a3459
1242842b00
13254920b3
1416166bcc
15d452a60
hex905d7b0

151377840 has 60 divisors (see below), whose sum is σ = 508379664. Its totient is φ = 40367232.

The previous prime is 151377839. The next prime is 151377847. The reversal of 151377840 is 48773151.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 151377795 and 151377804.

It is not an unprimeable number, because it can be changed into a prime (151377847) by changing a digit.

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, 104404 + ... + 105843.

Almost surely, 2151377840 is an apocalyptic number.

151377840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151377840 is an abundant number, since it is smaller than the sum of its proper divisors (357001824).

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

151377840 is a wasteful number, since it uses less digits than its factorization.

151377840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210266 (or 210257 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 151377840 is about 12303.5702135600. The cubic root of 151377840 is about 532.9511880553.

The spelling of 151377840 in words is "one hundred fifty-one million, three hundred seventy-seven thousand, eight hundred 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 210247 420494 630741 840988 1051235 1261482 1681976 1892223 2102470 2522964 3153705 3363952 3784446 4204940 5045928 6307410 7568892 8409880 9461115 10091856 12614820 15137784 16819760 18922230 25229640 30275568 37844460 50459280 75688920 151377840