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134505240 = 23357115787
BaseRepresentation
bin10000000010001…
…10001100011000
3100101002120111120
420001012030120
5233413131430
621202525240
73222163362
oct1001061430
9311076446
10134505240
1169a19861
1239066820
1321b352cc
1413c13d32
15bc1d610
hex8046318

134505240 has 64 divisors (see below), whose sum is σ = 409224960. Its totient is φ = 35360640.

The previous prime is 134505227. The next prime is 134505253. The reversal of 134505240 is 42505431.

It is an interprime number because it is at equal distance from previous prime (134505227) and next prime (134505253).

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 134505240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (6394140).

Almost surely, 2134505240 is an apocalyptic number.

134505240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134505240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204612480).

134505240 is an abundant number, since it is smaller than the sum of its proper divisors (274719720).

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

134505240 is a wasteful number, since it uses less digits than its factorization.

134505240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15872 (or 15868 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 134505240 is about 11597.6394149844. The cubic root of 134505240 is about 512.3653296761.

The spelling of 134505240 in words is "one hundred thirty-four million, five hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 15787 31574 47361 63148 78935 94722 126296 157870 189444 236805 315740 378888 473610 631480 947220 1120877 1894440 2241754 3362631 4483508 5604385 6725262 8967016 11208770 13450524 16813155 22417540 26901048 33626310 44835080 67252620 134505240