Search a number
-
+
6020532456 = 2331753433643
BaseRepresentation
bin1011001101101101…
…00000100011101000
3120112120200201220120
411212312200203220
544312224014311
62433224523240
7302123452521
oct54666404350
916476621816
106020532456
11260a485164
121200320520
1374c407653
14411835848
15253841706
hex166da08e8

6020532456 has 128 divisors (see below), whose sum is σ = 16300206720. Its totient is φ = 1846001664.

The previous prime is 6020532449. The next prime is 6020532491. The reversal of 6020532456 is 6542350206.

It is a super-2 number, since 2×60205324562 = 72493622107498783872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9362871 + ... + 9363513.

It is an arithmetic number, because the mean of its divisors is an integer number (127345365).

Almost surely, 26020532456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6020532456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150103360).

6020532456 is an abundant number, since it is smaller than the sum of its proper divisors (10279674264).

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

6020532456 is a wasteful number, since it uses less digits than its factorization.

6020532456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 6020532456 is about 77592.0901638820. The cubic root of 6020532456 is about 1819.1910078425.

The spelling of 6020532456 in words is "six billion, twenty million, five hundred thirty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 433 636 643 866 901 1272 1286 1299 1732 1802 1929 2572 2598 2703 3464 3604 3858 5144 5196 5406 7208 7361 7716 10392 10812 10931 14722 15432 21624 21862 22083 22949 29444 32793 34079 43724 44166 45898 58888 65586 68158 68847 87448 88332 91796 102237 131172 136316 137694 176664 183592 204474 262344 272632 275388 278419 390133 408948 550776 556838 579343 780266 817896 835257 1113676 1158686 1170399 1560532 1670514 1738029 2227352 2317372 2340798 3121064 3341028 3476058 4634744 4681596 4733123 6682056 6952116 9363192 9466246 13904232 14199369 14756207 18932492 28398738 29512414 37864984 44268621 56797476 59024828 88537242 113594952 118049656 177074484 250855519 354148968 501711038 752566557 1003422076 1505133114 2006844152 3010266228 6020532456