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134100240 = 24352931907
BaseRepresentation
bin1111111111000…
…11010100010000
3100100022222221120
413333203110100
5233312201430
621150122240
73215555541
oct777432420
9310288846
10134100240
116977254a
1238ab0380
1321a22b71
1413b4a4c8
15bb8d610
hex7fe3510

134100240 has 80 divisors (see below), whose sum is σ = 417348288. Its totient is φ = 35619328.

The previous prime is 134100223. The next prime is 134100251. The reversal of 134100240 is 42001431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 69367 + ... + 71273.

Almost surely, 2134100240 is an apocalyptic number.

134100240 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 134100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208674144).

134100240 is an abundant number, since it is smaller than the sum of its proper divisors (283248048).

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

134100240 is a wasteful number, since it uses less digits than its factorization.

134100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134100240 is about 11580.1658019218. The cubic root of 134100240 is about 511.8505626706.

Adding to 134100240 its reverse (42001431), we get a palindrome (176101671).

The spelling of 134100240 in words is "one hundred thirty-four million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 293 586 879 1172 1465 1758 1907 2344 2930 3516 3814 4395 4688 5721 5860 7032 7628 8790 9535 11442 11720 14064 15256 17580 19070 22884 23440 28605 30512 35160 38140 45768 57210 70320 76280 91536 114420 152560 228840 457680 558751 1117502 1676253 2235004 2793755 3352506 4470008 5587510 6705012 8381265 8940016 11175020 13410024 16762530 22350040 26820048 33525060 44700080 67050120 134100240