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151635340 = 225101271277
BaseRepresentation
bin10010000100111…
…00010110001100
3101120022212120201
421002130112030
5302304312330
623014023244
73520610353
oct1102342614
9346285521
10151635340
117865996a
1242947b24
132555236c
14161d299a
15d4a3eca
hex909c58c

151635340 has 48 divisors (see below), whose sum is σ = 323938944. Its totient is φ = 59616000.

The previous prime is 151635307. The next prime is 151635377. The reversal of 151635340 is 43536151.

It is a junction number, because it is equal to n+sod(n) for n = 151635299 and 151635308.

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 15 ways as a sum of consecutive naturals, for example, 547282 + ... + 547558.

It is an arithmetic number, because the mean of its divisors is an integer number (6748728).

Almost surely, 2151635340 is an apocalyptic number.

151635340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151635340 is an abundant number, since it is smaller than the sum of its proper divisors (172303604).

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

151635340 is a wasteful number, since it uses less digits than its factorization.

151635340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 151635340 is about 12314.0302094806. The cubic root of 151635340 is about 533.2532075809.

It can be divided in two parts, 15163 and 5340, that added together give a triangular number (20503 = T202).

The spelling of 151635340 in words is "one hundred fifty-one million, six hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 202 271 277 404 505 542 554 1010 1084 1108 1355 1385 2020 2710 2770 5420 5540 27371 27977 54742 55954 75067 109484 111908 136855 139885 150134 273710 279770 300268 375335 547420 559540 750670 1501340 7581767 15163534 30327068 37908835 75817670 151635340