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135973320 = 23357161873
BaseRepresentation
bin10000001101011…
…00100111001000
3100110212011022220
420012230213020
5234302121240
621254214040
73240516450
oct1006544710
9313764286
10135973320
116a83184a
1239654320
132222a5b2
14140b6d60
15be0d5d0
hex81ac9c8

135973320 has 64 divisors (see below), whose sum is σ = 466197120. Its totient is φ = 31079424.

The previous prime is 135973319. The next prime is 135973391. The reversal of 135973320 is 23379531.

135973320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1359733203 (a number of 25 digits) contains 333 as substring.

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, 80097 + ... + 81776.

It is an arithmetic number, because the mean of its divisors is an integer number (7284330).

Almost surely, 2135973320 is an apocalyptic number.

135973320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135973320 is an abundant number, since it is smaller than the sum of its proper divisors (330223800).

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

135973320 is a wasteful number, since it uses less digits than its factorization.

135973320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161894 (or 161890 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 135973320 is about 11660.7598380208. The cubic root of 135973320 is about 514.2226876026. Note that the first 3 decimals are identical.

The spelling of 135973320 in words is "one hundred thirty-five million, nine hundred seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 161873 323746 485619 647492 809365 971238 1133111 1294984 1618730 1942476 2266222 2428095 3237460 3399333 3884952 4532444 4856190 5665555 6474920 6798666 9064888 9712380 11331110 13597332 16996665 19424760 22662220 27194664 33993330 45324440 67986660 135973320