Search a number
-
+
6146502240 = 253519167043
BaseRepresentation
bin1011011100101110…
…00010111001100000
3120212100201122222010
411232113002321200
5100042001032430
62453524512520
7305213256414
oct55627027140
916770648863
106146502240
1126745a411a
12123654b740
1376c541898
14424466d44
1525e925cb0
hex16e5c2e60

6146502240 has 96 divisors (see below), whose sum is σ = 19463141376. Its totient is φ = 1630461440.

The previous prime is 6146502233. The next prime is 6146502281. The reversal of 6146502240 is 422056416.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6146502198 and 6146502207.

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, 58159 + ... + 125201.

It is an arithmetic number, because the mean of its divisors is an integer number (202741056).

Almost surely, 26146502240 is an apocalyptic number.

6146502240 is a gapful number since it is divisible by the number (60) 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 6146502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731570688).

6146502240 is an abundant number, since it is smaller than the sum of its proper divisors (13316639136).

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

6146502240 is a wasteful number, since it uses less digits than its factorization.

6146502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67252 (or 67244 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6146502240 is about 78399.6316317877. The cubic root of 6146502240 is about 1831.7913958114.

Adding to 6146502240 its reverse (422056416), we get a palindrome (6568558656).

The spelling of 6146502240 in words is "six billion, one hundred forty-six million, five hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 15280 18336 22920 30560 45840 67043 91680 134086 201129 268172 335215 402258 536344 670430 804516 1005645 1072688 1340860 1609032 2011290 2145376 2681720 3218064 4022580 5363440 6436128 8045160 10726880 12805213 16090320 25610426 32180640 38415639 51220852 64026065 76831278 102441704 128052130 153662556 192078195 204883408 256104260 307325112 384156390 409766816 512208520 614650224 768312780 1024417040 1229300448 1536625560 2048834080 3073251120 6146502240