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136321440 = 2535284003
BaseRepresentation
bin10000010000000…
…01100110100000
3100111111211212020
420020001212200
5234344241230
621305501440
73243466413
oct1010014640
9314454766
10136321440
116aa4a352
12397a1880
132231cb98
1414167b7a
15be7b810
hex82019a0

136321440 has 48 divisors (see below), whose sum is σ = 429414048. Its totient is φ = 36352256.

The previous prime is 136321411. The next prime is 136321469. The reversal of 136321440 is 44123631.

It is an interprime number because it is at equal distance from previous prime (136321411) and next prime (136321469).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 136321440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141522 + ... + 142481.

It is an arithmetic number, because the mean of its divisors is an integer number (8946126).

Almost surely, 2136321440 is an apocalyptic number.

136321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136321440 is an abundant number, since it is smaller than the sum of its proper divisors (293092608).

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

136321440 is a wasteful number, since it uses less digits than its factorization.

136321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284021 (or 284013 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 136321440 is about 11675.6772822822. The cubic root of 136321440 is about 514.6611526639.

The spelling of 136321440 in words is "one hundred thirty-six million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 284003 568006 852009 1136012 1420015 1704018 2272024 2840030 3408036 4260045 4544048 5680060 6816072 8520090 9088096 11360120 13632144 17040180 22720240 27264288 34080360 45440480 68160720 136321440